GCD of 972, 102, 21, 791 Calculator

Given Input numbers are 972, 102, 21, 791

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 972, 102, 21, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 102, 21, 791 is 1.

Therefore, GCD of numbers 972, 102, 21, 791 is 1

Given Input Data is 972, 102, 21, 791

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 102 is 2 x 3 x 17

Prime Factorization of 21 is 3 x 7

Prime Factorization of 791 is 7 x 113

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, 102) = 16524

GCD(972, 102) = ( 972 x 102 ) / 16524

GCD(972, 102) = 99144 / 16524

GCD(972, 102) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 21

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

LCM(6, 21) = 42

GCD(6, 21) = ( 6 x 21 ) / 42

GCD(6, 21) = 126 / 42

GCD(6, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 791

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

LCM(3, 791) = 2373

GCD(3, 791) = ( 3 x 791 ) / 2373

GCD(3, 791) = 2373 / 2373

GCD(3, 791) = 1

GCD of 972, 102, 21, 791 is 1

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1. What is the GCD of 972, 102, 21, 791?

GCD of 972, 102, 21, 791 is 1

2. Where do I get the detailed procedure to find GCD of 972, 102, 21, 791?

You can find a detailed procedure to find GCD of 972, 102, 21, 791 on our page.

3. How to find GCD of 972, 102, 21, 791 on a calculator?

You can find the GCD of 972, 102, 21, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.