Problem 10 for the greatest common factor

The common factor, also known as the common divisor. In the narrative of mathematical analysis, if n and d are integers and there is an integer c such that n = cd, then d is said to be a factor of n, or n is a multiple of d, denoted as d|n (pronounced d divisible by n). If d|a and d|b is a common factor between a and b.

For each pair of integers there is a common factor d, as d = ax+by, where x and y are integers, and the absolute value of each common factor of a and b divisible is called the greatest common factor. Any two natural numbers have a common factor of 1(except zero) and the largest of these common factors is called the greatest common factor of these positive integers.

To find the greatest common factor of several integers, just multiply all of their common prime factors, and the resulting product is their greatest common factor. To put it simply: the common factor of several numbers is called the common factor of these numbers.

The greatest common factor is called the greatest common factor of these numbers. Example: The greatest common factor of 12 and 18 The factor of 12 has the factor of 18 The common factor of 12 and 18 has , and the largest number is 6, and the greatest common factor is 6!

1.Multiplier RelationshipIf the larger number is a multiple of the smaller number, then the smaller number is the greatest common factor of the two numbers. 2.

Two numbers with only 1 in the common factor of the coprime relationship are called coprime numbers. For example, 5 and 7 are coprime numbers. Note:

1 is the factor of all numbers. The question will only ask you to do the greatest common factor, the minimum must be 1, and there is no research value (except for 0 and negative numbers). 1 is the least common factor of all numbers, and the greatest factor is itself.

There is no greatest common factor for decimals, and the greatest common factor and least common multiple exist only in natural numbers.

No, if the two numbers are multiples, the greatest common factor is the smaller number (although the two numbers can also be equal).

1. The greatest common factor, also known as the greatest common divisor, refers to the largest of the divisors shared by two or more integers. The greatest common divisor of a,b is denoted as (a,b). There are many ways to find the greatest common divisor, the common ones are prime factor factorization, tossing and dividing, and so on.

2. The least common multiple is the common multiple of several numbers, which is called the common multiple of these numbers, and the smallest common multiple except 0.

Extended information: Since the product of two numbers is equal to the product of the greatest common divisor and the least common multiple of these two numbers. i.e. (a,b) [a,b]=a b.

So, to find the least common multiple of two numbers, you can first find their greatest common divisor, and then use the above formula to find their least common multiple.

For example, if you find [18,20], you get [18,20]=18 20 (18,20)=18 20 2=180.

To find the least common multiple of several natural numbers, you can first find the least common multiple of two of the numbers, and then find the least common multiple of this least common multiple and the least common multiple of the third number, and then continue until the last one. The resulting least common multiple is the least common multiple of the numbers sought. Example:

Example 1, the greatest common factor of two numbers is 15, and the least common multiple is 90, what are the two numbers?

15×1=15,15×6=90；When a1b1 is 2 and 3 respectively, a and b are 15 2=30 and 15 3=45, respectively. So, these two numbers are 15 and 90 or 30 and 45.

Factors and Multiples Extension II Episode 5, Greatest Common Factor, What is the Maximum Area of a Small Square?

The greatest common factor of two or more positive integers is called the greatest common factor.

The greatest common factor generally refers to the greatest common divisor. Refers to the largest of the divisors shared by two or more integers.

To find the greatest common factor of several integers, first decompose these numbers into prime factors and write them into the form of power, and then multiply the smallest power of the exponent to obtain the greatest common factor in the common prime factors of Xinlunshen.

For example, the divisor of 165 has 1

The divisor of 120 has 3

So the greatest common divisor is 3 1 5 1 = 15

3 1 means 3 to the power of 1.

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Calculate the distance of the nuclear Changliang through the change of transport.

The largest of the common factors is called the greatest common factor.

The common factor, also known as the "common divisor". It is an integer that is divisible by several integers at the same time. If an integer is a factor of several integers at the same time, the integer is called their "common factor"; The largest of the common factors is called the greatest common factor.

The common factor is also known as the common divisor. In the narrative of number theory, if n and d are both integers, and there is an integer c such that n = cd, then d is said to be a factor of n, or n is a multiple of d, denoted as d|n (pronounced d divisible by n).

If d|a and d|b is a common factor between a and b. According to Pei Shu's theorem, for each pair of integers a and b, there is a common factor d, such that d = ax+by, where x and y are integers, and each common factor of a and b is divisible by this d. So the absolute value of d is called the greatest common factor.

First of all, the common factor of several numbers is called the common factor of these numbers. There may be more than one common factor, and the largest of these common factors is called the largest common factor.

The greatest common factor is the most common factor of two numbers (or numbers).

There is no greatest common factor in the world.