GCD of 972, 771, 121, 671 Calculator

Given Input numbers are 972, 771, 121, 671

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Greatest Common Divisior

We found the divisors of 972, 771, 121, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 771, 121, 671 is 1.

Therefore, GCD of numbers 972, 771, 121, 671 is 1

Given Input Data is 972, 771, 121, 671

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 771 is 3 x 257

Prime Factorization of 121 is 11 x 11

Prime Factorization of 671 is 11 x 61

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, 771) = 249804

GCD(972, 771) = ( 972 x 771 ) / 249804

GCD(972, 771) = 749412 / 249804

GCD(972, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 121

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

LCM(3, 121) = 363

GCD(3, 121) = ( 3 x 121 ) / 363

GCD(3, 121) = 363 / 363

GCD(3, 121) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 671

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

LCM(1, 671) = 671

GCD(1, 671) = ( 1 x 671 ) / 671

GCD(1, 671) = 671 / 671

GCD(1, 671) = 1

GCD of 972, 771, 121, 671 is 1

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1. What is the GCD of 972, 771, 121, 671?

GCD of 972, 771, 121, 671 is 1

2. Where do I get the detailed procedure to find GCD of 972, 771, 121, 671?

You can find a detailed procedure to find GCD of 972, 771, 121, 671 on our page.

3. How to find GCD of 972, 771, 121, 671 on a calculator?

You can find the GCD of 972, 771, 121, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.