GCD of 972, 684, 660 Calculator

Given Input numbers are 972, 684, 660

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 972, 684, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 684, 660 is 12.

Therefore, GCD of numbers 972, 684, 660 is 12

Given Input Data is 972, 684, 660

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 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Highest common occurrences in the given inputs are 2² x 3¹

Multiplying them we get the GCD as 12

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, 684) = 18468

GCD(972, 684) = ( 972 x 684 ) / 18468

GCD(972, 684) = 664848 / 18468

GCD(972, 684) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 660

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

LCM(36, 660) = 1980

GCD(36, 660) = ( 36 x 660 ) / 1980

GCD(36, 660) = 23760 / 1980

GCD(36, 660) = 12

GCD of 972, 684, 660 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 631, 493
• GCD of 449, 920, 357
• GCD of 301, 208, 804
• GCD of 591, 193, 660
• GCD of 506, 363, 567

1. What is the GCD of 972, 684, 660?

GCD of 972, 684, 660 is 12

2. Where do I get the detailed procedure to find GCD of 972, 684, 660?

You can find a detailed procedure to find GCD of 972, 684, 660 on our page.

3. How to find GCD of 972, 684, 660 on a calculator?

You can find the GCD of 972, 684, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.