GCD of 972, 364, 712, 425 Calculator

Given Input numbers are 972, 364, 712, 425

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 972, 364, 712, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 364, 712, 425 is 1.

Therefore, GCD of numbers 972, 364, 712, 425 is 1

Given Input Data is 972, 364, 712, 425

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 425 is 5 x 5 x 17

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(972, 364) = 88452

GCD(972, 364) = ( 972 x 364 ) / 88452

GCD(972, 364) = 353808 / 88452

GCD(972, 364) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 712

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

LCM(4, 712) = 712

GCD(4, 712) = ( 4 x 712 ) / 712

GCD(4, 712) = 2848 / 712

GCD(4, 712) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 425

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

LCM(4, 425) = 1700

GCD(4, 425) = ( 4 x 425 ) / 1700

GCD(4, 425) = 1700 / 1700

GCD(4, 425) = 1

GCD of 972, 364, 712, 425 is 1

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1. What is the GCD of 972, 364, 712, 425?

GCD of 972, 364, 712, 425 is 1

2. Where do I get the detailed procedure to find GCD of 972, 364, 712, 425?

You can find a detailed procedure to find GCD of 972, 364, 712, 425 on our page.

3. How to find GCD of 972, 364, 712, 425 on a calculator?

You can find the GCD of 972, 364, 712, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.