GCD of 108, 973, 315 Calculator

Given Input numbers are 108, 973, 315

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 108, 973, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 973, 315 is 1.

Therefore, GCD of numbers 108, 973, 315 is 1

Given Input Data is 108, 973, 315

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 973 is 7 x 139

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(108, 973) = 105084

GCD(108, 973) = ( 108 x 973 ) / 105084

GCD(108, 973) = 105084 / 105084

GCD(108, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 108, 973, 315 is 1

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1. What is the GCD of 108, 973, 315?

GCD of 108, 973, 315 is 1

2. Where do I get the detailed procedure to find GCD of 108, 973, 315?

You can find a detailed procedure to find GCD of 108, 973, 315 on our page.

3. How to find GCD of 108, 973, 315 on a calculator?

You can find the GCD of 108, 973, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.