GCD of 126, 660, 28, 813 Calculator

Given Input numbers are 126, 660, 28, 813

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 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 126, 660, 28, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 660, 28, 813 is 1.

Therefore, GCD of numbers 126, 660, 28, 813 is 1

Given Input Data is 126, 660, 28, 813

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 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 813 is 3 x 271

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, 660) = 13860

GCD(126, 660) = ( 126 x 660 ) / 13860

GCD(126, 660) = 83160 / 13860

GCD(126, 660) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 28

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

LCM(6, 28) = 84

GCD(6, 28) = ( 6 x 28 ) / 84

GCD(6, 28) = 168 / 84

GCD(6, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 813

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

LCM(2, 813) = 1626

GCD(2, 813) = ( 2 x 813 ) / 1626

GCD(2, 813) = 1626 / 1626

GCD(2, 813) = 1

GCD of 126, 660, 28, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 595, 23, 739
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• GCD of 323, 358, 93, 156

1. What is the GCD of 126, 660, 28, 813?

GCD of 126, 660, 28, 813 is 1

2. Where do I get the detailed procedure to find GCD of 126, 660, 28, 813?

You can find a detailed procedure to find GCD of 126, 660, 28, 813 on our page.

3. How to find GCD of 126, 660, 28, 813 on a calculator?

You can find the GCD of 126, 660, 28, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.