GCD of 972, 371, 987, 868 Calculator

Given Input numbers are 972, 371, 987, 868

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 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 972, 371, 987, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 371, 987, 868 is 1.

Therefore, GCD of numbers 972, 371, 987, 868 is 1

Given Input Data is 972, 371, 987, 868

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 371 is 7 x 53

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 868 is 2 x 2 x 7 x 31

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, 371) = 360612

GCD(972, 371) = ( 972 x 371 ) / 360612

GCD(972, 371) = 360612 / 360612

GCD(972, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

GCD of 972, 371, 987, 868 is 1

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1. What is the GCD of 972, 371, 987, 868?

GCD of 972, 371, 987, 868 is 1

2. Where do I get the detailed procedure to find GCD of 972, 371, 987, 868?

You can find a detailed procedure to find GCD of 972, 371, 987, 868 on our page.

3. How to find GCD of 972, 371, 987, 868 on a calculator?

You can find the GCD of 972, 371, 987, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.