GCD of 972, 167, 51, 902 Calculator

Given Input numbers are 972, 167, 51, 902

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 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 972, 167, 51, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 167, 51, 902 is 1.

Therefore, GCD of numbers 972, 167, 51, 902 is 1

Given Input Data is 972, 167, 51, 902

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 167 is 167

Prime Factorization of 51 is 3 x 17

Prime Factorization of 902 is 2 x 11 x 41

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, 167) = 162324

GCD(972, 167) = ( 972 x 167 ) / 162324

GCD(972, 167) = 162324 / 162324

GCD(972, 167) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 972, 167, 51, 902 is 1

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1. What is the GCD of 972, 167, 51, 902?

GCD of 972, 167, 51, 902 is 1

2. Where do I get the detailed procedure to find GCD of 972, 167, 51, 902?

You can find a detailed procedure to find GCD of 972, 167, 51, 902 on our page.

3. How to find GCD of 972, 167, 51, 902 on a calculator?

You can find the GCD of 972, 167, 51, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.