GCD of 920, 108, 664, 795 Calculator

Given Input numbers are 920, 108, 664, 795

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

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 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 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 920, 108, 664, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 108, 664, 795 is 1.

Therefore, GCD of numbers 920, 108, 664, 795 is 1

Given Input Data is 920, 108, 664, 795

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

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

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 795 is 3 x 5 x 53

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(920, 108) = 24840

GCD(920, 108) = ( 920 x 108 ) / 24840

GCD(920, 108) = 99360 / 24840

GCD(920, 108) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 664

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

LCM(4, 664) = 664

GCD(4, 664) = ( 4 x 664 ) / 664

GCD(4, 664) = 2656 / 664

GCD(4, 664) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 795

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

LCM(4, 795) = 3180

GCD(4, 795) = ( 4 x 795 ) / 3180

GCD(4, 795) = 3180 / 3180

GCD(4, 795) = 1

GCD of 920, 108, 664, 795 is 1

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1. What is the GCD of 920, 108, 664, 795?

GCD of 920, 108, 664, 795 is 1

2. Where do I get the detailed procedure to find GCD of 920, 108, 664, 795?

You can find a detailed procedure to find GCD of 920, 108, 664, 795 on our page.

3. How to find GCD of 920, 108, 664, 795 on a calculator?

You can find the GCD of 920, 108, 664, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.