GCD of 564, 757, 312, 524 Calculator

Given Input numbers are 564, 757, 312, 524

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 564, 757, 312, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 757, 312, 524 is 1.

Therefore, GCD of numbers 564, 757, 312, 524 is 1

Given Input Data is 564, 757, 312, 524

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 757 is 757

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 524 is 2 x 2 x 131

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(564, 757) = 426948

GCD(564, 757) = ( 564 x 757 ) / 426948

GCD(564, 757) = 426948 / 426948

GCD(564, 757) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 564, 757, 312, 524 is 1

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• GCD of 257, 490, 345, 288
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1. What is the GCD of 564, 757, 312, 524?

GCD of 564, 757, 312, 524 is 1

2. Where do I get the detailed procedure to find GCD of 564, 757, 312, 524?

You can find a detailed procedure to find GCD of 564, 757, 312, 524 on our page.

3. How to find GCD of 564, 757, 312, 524 on a calculator?

You can find the GCD of 564, 757, 312, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.