GCD of 972, 453, 956, 287 Calculator

Given Input numbers are 972, 453, 956, 287

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 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Greatest Common Divisior

We found the divisors of 972, 453, 956, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 453, 956, 287 is 1.

Therefore, GCD of numbers 972, 453, 956, 287 is 1

Given Input Data is 972, 453, 956, 287

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 453 is 3 x 151

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 287 is 7 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, 453) = 146772

GCD(972, 453) = ( 972 x 453 ) / 146772

GCD(972, 453) = 440316 / 146772

GCD(972, 453) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 956

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

LCM(3, 956) = 2868

GCD(3, 956) = ( 3 x 956 ) / 2868

GCD(3, 956) = 2868 / 2868

GCD(3, 956) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 287

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

LCM(1, 287) = 287

GCD(1, 287) = ( 1 x 287 ) / 287

GCD(1, 287) = 287 / 287

GCD(1, 287) = 1

GCD of 972, 453, 956, 287 is 1

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1. What is the GCD of 972, 453, 956, 287?

GCD of 972, 453, 956, 287 is 1

2. Where do I get the detailed procedure to find GCD of 972, 453, 956, 287?

You can find a detailed procedure to find GCD of 972, 453, 956, 287 on our page.

3. How to find GCD of 972, 453, 956, 287 on a calculator?

You can find the GCD of 972, 453, 956, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.