GCD of 636, 963, 427, 138 Calculator

Given Input numbers are 636, 963, 427, 138

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 636, 963, 427, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 963, 427, 138 is 1.

Therefore, GCD of numbers 636, 963, 427, 138 is 1

Given Input Data is 636, 963, 427, 138

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 427 is 7 x 61

Prime Factorization of 138 is 2 x 3 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(636, 963) = 204156

GCD(636, 963) = ( 636 x 963 ) / 204156

GCD(636, 963) = 612468 / 204156

GCD(636, 963) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 427

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

LCM(3, 427) = 1281

GCD(3, 427) = ( 3 x 427 ) / 1281

GCD(3, 427) = 1281 / 1281

GCD(3, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 636, 963, 427, 138 is 1

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1. What is the GCD of 636, 963, 427, 138?

GCD of 636, 963, 427, 138 is 1

2. Where do I get the detailed procedure to find GCD of 636, 963, 427, 138?

You can find a detailed procedure to find GCD of 636, 963, 427, 138 on our page.

3. How to find GCD of 636, 963, 427, 138 on a calculator?

You can find the GCD of 636, 963, 427, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.