GCD of 972, 588, 524 Calculator

Given Input numbers are 972, 588, 524

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 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 972, 588, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 588, 524 is 4.

Therefore, GCD of numbers 972, 588, 524 is 4

Given Input Data is 972, 588, 524

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 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 524 is 2 x 2 x 131

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 588) = 47628

GCD(972, 588) = ( 972 x 588 ) / 47628

GCD(972, 588) = 571536 / 47628

GCD(972, 588) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 524

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

LCM(12, 524) = 1572

GCD(12, 524) = ( 12 x 524 ) / 1572

GCD(12, 524) = 6288 / 1572

GCD(12, 524) = 4

GCD of 972, 588, 524 is 4

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1. What is the GCD of 972, 588, 524?

GCD of 972, 588, 524 is 4

2. Where do I get the detailed procedure to find GCD of 972, 588, 524?

You can find a detailed procedure to find GCD of 972, 588, 524 on our page.

3. How to find GCD of 972, 588, 524 on a calculator?

You can find the GCD of 972, 588, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.