GCD of 118, 695, 37, 920 Calculator

Given Input numbers are 118, 695, 37, 920

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

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

Greatest Common Divisior

We found the divisors of 118, 695, 37, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 695, 37, 920 is 1.

Therefore, GCD of numbers 118, 695, 37, 920 is 1

Given Input Data is 118, 695, 37, 920

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 695 is 5 x 139

Prime Factorization of 37 is 37

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

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(118, 695) = 82010

GCD(118, 695) = ( 118 x 695 ) / 82010

GCD(118, 695) = 82010 / 82010

GCD(118, 695) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 118, 695, 37, 920 is 1

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1. What is the GCD of 118, 695, 37, 920?

GCD of 118, 695, 37, 920 is 1

2. Where do I get the detailed procedure to find GCD of 118, 695, 37, 920?

You can find a detailed procedure to find GCD of 118, 695, 37, 920 on our page.

3. How to find GCD of 118, 695, 37, 920 on a calculator?

You can find the GCD of 118, 695, 37, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.