GCD of 132, 540, 264, 637 Calculator

Given Input numbers are 132, 540, 264, 637

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 132, 540, 264, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 540, 264, 637 is 1.

Therefore, GCD of numbers 132, 540, 264, 637 is 1

Given Input Data is 132, 540, 264, 637

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 637 is 7 x 7 x 13

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(132, 540) = 5940

GCD(132, 540) = ( 132 x 540 ) / 5940

GCD(132, 540) = 71280 / 5940

GCD(132, 540) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 264

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

LCM(12, 264) = 264

GCD(12, 264) = ( 12 x 264 ) / 264

GCD(12, 264) = 3168 / 264

GCD(12, 264) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 637

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

LCM(12, 637) = 7644

GCD(12, 637) = ( 12 x 637 ) / 7644

GCD(12, 637) = 7644 / 7644

GCD(12, 637) = 1

GCD of 132, 540, 264, 637 is 1

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1. What is the GCD of 132, 540, 264, 637?

GCD of 132, 540, 264, 637 is 1

2. Where do I get the detailed procedure to find GCD of 132, 540, 264, 637?

You can find a detailed procedure to find GCD of 132, 540, 264, 637 on our page.

3. How to find GCD of 132, 540, 264, 637 on a calculator?

You can find the GCD of 132, 540, 264, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.