GCD of 231, 742, 972 Calculator

Given Input numbers are 231, 742, 972

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

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

Greatest Common Divisior

We found the divisors of 231, 742, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 742, 972 is 1.

Therefore, GCD of numbers 231, 742, 972 is 1

Given Input Data is 231, 742, 972

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 742 is 2 x 7 x 53

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

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(231, 742) = 24486

GCD(231, 742) = ( 231 x 742 ) / 24486

GCD(231, 742) = 171402 / 24486

GCD(231, 742) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 972

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

LCM(7, 972) = 6804

GCD(7, 972) = ( 7 x 972 ) / 6804

GCD(7, 972) = 6804 / 6804

GCD(7, 972) = 1

GCD of 231, 742, 972 is 1

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• GCD of 202, 375, 981
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1. What is the GCD of 231, 742, 972?

GCD of 231, 742, 972 is 1

2. Where do I get the detailed procedure to find GCD of 231, 742, 972?

You can find a detailed procedure to find GCD of 231, 742, 972 on our page.

3. How to find GCD of 231, 742, 972 on a calculator?

You can find the GCD of 231, 742, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.