GCD of 351, 916, 676 Calculator

Given Input numbers are 351, 916, 676

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 351, 916, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 916, 676 is 1.

Therefore, GCD of numbers 351, 916, 676 is 1

Given Input Data is 351, 916, 676

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(351, 916) = 321516

GCD(351, 916) = ( 351 x 916 ) / 321516

GCD(351, 916) = 321516 / 321516

GCD(351, 916) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 351, 916, 676 is 1

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1. What is the GCD of 351, 916, 676?

GCD of 351, 916, 676 is 1

2. Where do I get the detailed procedure to find GCD of 351, 916, 676?

You can find a detailed procedure to find GCD of 351, 916, 676 on our page.

3. How to find GCD of 351, 916, 676 on a calculator?

You can find the GCD of 351, 916, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.