GCD of 972, 356, 915 Calculator

Given Input numbers are 972, 356, 915

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 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 972, 356, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 356, 915 is 1.

Therefore, GCD of numbers 972, 356, 915 is 1

Given Input Data is 972, 356, 915

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 356 is 2 x 2 x 89

Prime Factorization of 915 is 3 x 5 x 61

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, 356) = 86508

GCD(972, 356) = ( 972 x 356 ) / 86508

GCD(972, 356) = 346032 / 86508

GCD(972, 356) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 915

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

LCM(4, 915) = 3660

GCD(4, 915) = ( 4 x 915 ) / 3660

GCD(4, 915) = 3660 / 3660

GCD(4, 915) = 1

GCD of 972, 356, 915 is 1

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1. What is the GCD of 972, 356, 915?

GCD of 972, 356, 915 is 1

2. Where do I get the detailed procedure to find GCD of 972, 356, 915?

You can find a detailed procedure to find GCD of 972, 356, 915 on our page.

3. How to find GCD of 972, 356, 915 on a calculator?

You can find the GCD of 972, 356, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.