GCD of 113, 906, 36, 634 Calculator

Given Input numbers are 113, 906, 36, 634

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 113, 906, 36, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 906, 36, 634 is 1.

Therefore, GCD of numbers 113, 906, 36, 634 is 1

Given Input Data is 113, 906, 36, 634

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

Prime Factorization of 113 is 113

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 634 is 2 x 317

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(113, 906) = 102378

GCD(113, 906) = ( 113 x 906 ) / 102378

GCD(113, 906) = 102378 / 102378

GCD(113, 906) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 634

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

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

GCD(1, 634) = 634 / 634

GCD(1, 634) = 1

GCD of 113, 906, 36, 634 is 1

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1. What is the GCD of 113, 906, 36, 634?

GCD of 113, 906, 36, 634 is 1

2. Where do I get the detailed procedure to find GCD of 113, 906, 36, 634?

You can find a detailed procedure to find GCD of 113, 906, 36, 634 on our page.

3. How to find GCD of 113, 906, 36, 634 on a calculator?

You can find the GCD of 113, 906, 36, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.