GCD of 351, 688, 364 Calculator

Given Input numbers are 351, 688, 364

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 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 351, 688, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 688, 364 is 1.

Therefore, GCD of numbers 351, 688, 364 is 1

Given Input Data is 351, 688, 364

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 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 364 is 2 x 2 x 7 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, 688) = 241488

GCD(351, 688) = ( 351 x 688 ) / 241488

GCD(351, 688) = 241488 / 241488

GCD(351, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 351, 688, 364 is 1

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1. What is the GCD of 351, 688, 364?

GCD of 351, 688, 364 is 1

2. Where do I get the detailed procedure to find GCD of 351, 688, 364?

You can find a detailed procedure to find GCD of 351, 688, 364 on our page.

3. How to find GCD of 351, 688, 364 on a calculator?

You can find the GCD of 351, 688, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.