GCD of 279, 920, 656, 677 Calculator

Given Input numbers are 279, 920, 656, 677

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 279, 920, 656, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 920, 656, 677 is 1.

Therefore, GCD of numbers 279, 920, 656, 677 is 1

Given Input Data is 279, 920, 656, 677

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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

Prime Factorization of 677 is 677

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(279, 920) = 256680

GCD(279, 920) = ( 279 x 920 ) / 256680

GCD(279, 920) = 256680 / 256680

GCD(279, 920) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 279, 920, 656, 677 is 1

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1. What is the GCD of 279, 920, 656, 677?

GCD of 279, 920, 656, 677 is 1

2. Where do I get the detailed procedure to find GCD of 279, 920, 656, 677?

You can find a detailed procedure to find GCD of 279, 920, 656, 677 on our page.

3. How to find GCD of 279, 920, 656, 677 on a calculator?

You can find the GCD of 279, 920, 656, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.