GCD of 972, 364, 116 Calculator

Given Input numbers are 972, 364, 116

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 972, 364, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 364, 116 is 4.

Therefore, GCD of numbers 972, 364, 116 is 4

Given Input Data is 972, 364, 116

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 364 is 2 x 2 x 7 x 13

Prime Factorization of 116 is 2 x 2 x 29

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, 364) = 88452

GCD(972, 364) = ( 972 x 364 ) / 88452

GCD(972, 364) = 353808 / 88452

GCD(972, 364) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 116

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

LCM(4, 116) = 116

GCD(4, 116) = ( 4 x 116 ) / 116

GCD(4, 116) = 464 / 116

GCD(4, 116) = 4

GCD of 972, 364, 116 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 914, 772
• GCD of 628, 143, 571
• GCD of 181, 960, 502
• GCD of 528, 432, 333
• GCD of 295, 152, 442

1. What is the GCD of 972, 364, 116?

GCD of 972, 364, 116 is 4

2. Where do I get the detailed procedure to find GCD of 972, 364, 116?

You can find a detailed procedure to find GCD of 972, 364, 116 on our page.

3. How to find GCD of 972, 364, 116 on a calculator?

You can find the GCD of 972, 364, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.