GCD of 126, 117, 20, 756 Calculator

Given Input numbers are 126, 117, 20, 756

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 126, 117, 20, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 117, 20, 756 is 1.

Therefore, GCD of numbers 126, 117, 20, 756 is 1

Given Input Data is 126, 117, 20, 756

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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(126, 117) = 1638

GCD(126, 117) = ( 126 x 117 ) / 1638

GCD(126, 117) = 14742 / 1638

GCD(126, 117) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 20

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

LCM(9, 20) = 180

GCD(9, 20) = ( 9 x 20 ) / 180

GCD(9, 20) = 180 / 180

GCD(9, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 126, 117, 20, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 382, 61, 521
• GCD of 222, 816, 18, 125
• GCD of 357, 215, 46, 843
• GCD of 706, 616, 15, 475
• GCD of 531, 173, 90, 814

1. What is the GCD of 126, 117, 20, 756?

GCD of 126, 117, 20, 756 is 1

2. Where do I get the detailed procedure to find GCD of 126, 117, 20, 756?

You can find a detailed procedure to find GCD of 126, 117, 20, 756 on our page.

3. How to find GCD of 126, 117, 20, 756 on a calculator?

You can find the GCD of 126, 117, 20, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.