What is the greatest common factor of 84 and 126?

84 and 126Greatest common factoris 42 and is calculated as follows

84 is divided into fully prime numbers.

The product of is 2*2*3*7;The product of 126 divided into fully prime numbers is 2*3*3*7. Multiply the same numbers from them, and the result is the greatest common factor of 84 and 126, that is, 2*3*7=42. Therefore, the greatest common factor of 84 and 126 is 42.

What is the greatest common factor

The greatest common factor, also known as the greatest common divisor.

The greatest common factor is the largest of the common divisors of two or more integers. The greatest common divisor of a,b is denoted as (a,b), similarly, the greatest common divisor of a,b,c is denoted as (a,b,c), and the greatest common divisor of multiple integers is also denoted by the same notation.

There are several ways to find the greatest common divisor, the common ones are as follows:

1. Prime factor decomposition method: decompose each number into prime factors separately.

Then extract all the common prime factors in each number and multiply, and the resulting product is the greatest common divisor of these numbers.

2. Short division: Short division to find the greatest common divisor, first use the common divisor of these numbers to remove continuously, until all quotient co-quality.

Then multiply all the divisors together, and the resulting product is the greatest common divisor of these numbers.

3. Tossing and dividing.

Tossing and dividing is to find two natural numbers.

A method of the greatest common divisor, also known as Euclidean's algorithm.

4. More derogation method: also known as more derogation method, is an algorithm for finding the greatest common divisor from the "Nine Chapters of Arithmetic", which was originally designed for reduction, but it is suitable for any occasion where the greatest common divisor needs to be found.

Analysis: The greatest common factor of 84 and 126 is

It should be a factor of 185 1, 5, 17, 85

The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

The greatest common factor of the search below is 1

The greatest common factor of 85 and 126 is 1.

The greatest common factor is 4.

According to the calculation results, the greatest common factor of 124 and 84 is 4.

Please confirm, thanks.

124 and 84 greatest common factor, 84 = 2 * 42 94 = 2 * 47 124 = 2 * 62 So the greatest common divisor is 2, and the greatest common factor of forty-two, forty-eight, and 84 is the least common multiple.

Greatest common divisor: 2x3=6

Least common multiple: 2x3x2x7x1x4x1=336

The common factors of 84 are: 1 , 2 , 4, 31, 62, 124;

To find the common factor and the greatest common factor by enumeration is to list the factors without numbers one by one, and the same factors are their common factors, where the greatest common factor is the greatest common factor.

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The greatest common factor of 24 and 84 is 2, 2, 3, 12

The least common multiple of 24 and 84 is 2 2 2 3 7 16812 and the greatest common factor of 25 is 1

The least common multiple of 12 and 25 is 2, 2, 3, 5, 5, 3009, and the greatest common factor of 30 is 3

First, the Euclidean algorithm (tossing and turning) can be used to solve for the greatest common factor of two numbers.

Divide the larger number by the smaller number, take the remainder (if any) as the divisor, and the original divisor as the divisor of the demolished reputation, and find the new remainder until the remainder is 0. In this case, the last dividend is the greatest common factor of the two numbers.

Taking 84 and 163 as examples, the calculation is performed as follows according to the steps of the Euclidean algorithm:

Because of this, the most enviable grand ducal factor of 84 and 163 is 4.

126 2 = 63 and 4 2 = 2, so the greatest common factor of 126 and 4 is 2

The number of Danxiao Gongyin brothers in 1260 and 84 is as follows:

Common Factor of 84:.

Common Factor of 1260:

Yu Chi attacked. The common common factors of 1260 and 84 are:

84 and 126 greatest common factors.

and least common multiples.

Solution: Numbers with the same multiples are common multiples of these numbers, and the smallest number in these common multiples is called the most volcanic minor common multiple.

Problem solving process: The least common multiple of the two numbers 84 and Weitingdan 126 is: 252; The minimum male finger scramble is 3 times that of 84; That's 2 times more than 126.

Common factors of 84:126: 1, 2, 3, 6, 7, 14, 21, 42

The most lacking common factor for 84 and 111 is 3.

Because 84 and 111 have only one Volvar common factor sock defeat 3, the greatest common factor of 84 and 111 is 3.

The common common factor of 126 and 75 is 3.

Analysis: Use the division method of tossing and turning the ridge to find the greatest common factor, as follows:

126÷75=1……51，75÷51=1……24，51÷24=2……3,24 3=8, Sen Finger.

When there is no remainder, the divisor is the greatest common factor.

The greatest common factor of 126 and 75 is 3.

Because the common cause of 126 and 75 is divisible by 1 and 3, so.

The common common factor of the roundest matter of 126 and 75 is 3.

The maximum male demolition front factor is 3.

It is known that the prime factor multiplication of 126 is: 126=2*3*3*7

The prime factor multiplication of 75 is: 75 = 3 * 5 * 5

To sum up, the greatest common factor of 126 and 75 is 3. Waiter.

The maximum number of common blocks for 126 and 75 is 3.

Because 126 and 75 are only divisible by 1 and 3, the greatest common factor of 126 and 75 is 3. Jian Xiangchang.