GCD of 315, 500, 976 Calculator

Given Input numbers are 315, 500, 976

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

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Greatest Common Divisior

We found the divisors of 315, 500, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 500, 976 is 1.

Therefore, GCD of numbers 315, 500, 976 is 1

Given Input Data is 315, 500, 976

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

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 976 is 2 x 2 x 2 x 2 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(315, 500) = 31500

GCD(315, 500) = ( 315 x 500 ) / 31500

GCD(315, 500) = 157500 / 31500

GCD(315, 500) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 976

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

LCM(5, 976) = 4880

GCD(5, 976) = ( 5 x 976 ) / 4880

GCD(5, 976) = 4880 / 4880

GCD(5, 976) = 1

GCD of 315, 500, 976 is 1

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1. What is the GCD of 315, 500, 976?

GCD of 315, 500, 976 is 1

2. Where do I get the detailed procedure to find GCD of 315, 500, 976?

You can find a detailed procedure to find GCD of 315, 500, 976 on our page.

3. How to find GCD of 315, 500, 976 on a calculator?

You can find the GCD of 315, 500, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.