GCD of 468, 976, 917 Calculator

Given Input numbers are 468, 976, 917

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 468, 976, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 976, 917 is 1.

Therefore, GCD of numbers 468, 976, 917 is 1

Given Input Data is 468, 976, 917

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 917 is 7 x 131

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(468, 976) = 114192

GCD(468, 976) = ( 468 x 976 ) / 114192

GCD(468, 976) = 456768 / 114192

GCD(468, 976) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 917

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

LCM(4, 917) = 3668

GCD(4, 917) = ( 4 x 917 ) / 3668

GCD(4, 917) = 3668 / 3668

GCD(4, 917) = 1

GCD of 468, 976, 917 is 1

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1. What is the GCD of 468, 976, 917?

GCD of 468, 976, 917 is 1

2. Where do I get the detailed procedure to find GCD of 468, 976, 917?

You can find a detailed procedure to find GCD of 468, 976, 917 on our page.

3. How to find GCD of 468, 976, 917 on a calculator?

You can find the GCD of 468, 976, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.