GCD of 312, 970, 956, 567 Calculator

Given Input numbers are 312, 970, 956, 567

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

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 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 312, 970, 956, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 970, 956, 567 is 1.

Therefore, GCD of numbers 312, 970, 956, 567 is 1

Given Input Data is 312, 970, 956, 567

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

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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(312, 970) = 151320

GCD(312, 970) = ( 312 x 970 ) / 151320

GCD(312, 970) = 302640 / 151320

GCD(312, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 956

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

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

GCD(2, 956) = 1912 / 956

GCD(2, 956) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 567

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

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

GCD(2, 567) = 1134 / 1134

GCD(2, 567) = 1

GCD of 312, 970, 956, 567 is 1

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1. What is the GCD of 312, 970, 956, 567?

GCD of 312, 970, 956, 567 is 1

2. Where do I get the detailed procedure to find GCD of 312, 970, 956, 567?

You can find a detailed procedure to find GCD of 312, 970, 956, 567 on our page.

3. How to find GCD of 312, 970, 956, 567 on a calculator?

You can find the GCD of 312, 970, 956, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.