GCD of 970, 116, 724, 564 Calculator

Given Input numbers are 970, 116, 724, 564

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

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

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

Greatest Common Divisior

We found the divisors of 970, 116, 724, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 116, 724, 564 is 2.

Therefore, GCD of numbers 970, 116, 724, 564 is 2

Given Input Data is 970, 116, 724, 564

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 724 is 2 x 2 x 181

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(970, 116) = 56260

GCD(970, 116) = ( 970 x 116 ) / 56260

GCD(970, 116) = 112520 / 56260

GCD(970, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 724

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

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

GCD(2, 724) = 1448 / 724

GCD(2, 724) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 564

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

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

GCD(2, 564) = 1128 / 564

GCD(2, 564) = 2

GCD of 970, 116, 724, 564 is 2

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1. What is the GCD of 970, 116, 724, 564?

GCD of 970, 116, 724, 564 is 2

2. Where do I get the detailed procedure to find GCD of 970, 116, 724, 564?

You can find a detailed procedure to find GCD of 970, 116, 724, 564 on our page.

3. How to find GCD of 970, 116, 724, 564 on a calculator?

You can find the GCD of 970, 116, 724, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.