GCD of 656, 108, 773, 793 Calculator

Given Input numbers are 656, 108, 773, 793

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Greatest Common Divisior

We found the divisors of 656, 108, 773, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 108, 773, 793 is 1.

Therefore, GCD of numbers 656, 108, 773, 793 is 1

Given Input Data is 656, 108, 773, 793

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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

Prime Factorization of 773 is 773

Prime Factorization of 793 is 13 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(656, 108) = 17712

GCD(656, 108) = ( 656 x 108 ) / 17712

GCD(656, 108) = 70848 / 17712

GCD(656, 108) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 773

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

LCM(4, 773) = 3092

GCD(4, 773) = ( 4 x 773 ) / 3092

GCD(4, 773) = 3092 / 3092

GCD(4, 773) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 793

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

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

GCD(1, 793) = 793 / 793

GCD(1, 793) = 1

GCD of 656, 108, 773, 793 is 1

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1. What is the GCD of 656, 108, 773, 793?

GCD of 656, 108, 773, 793 is 1

2. Where do I get the detailed procedure to find GCD of 656, 108, 773, 793?

You can find a detailed procedure to find GCD of 656, 108, 773, 793 on our page.

3. How to find GCD of 656, 108, 773, 793 on a calculator?

You can find the GCD of 656, 108, 773, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.