GCD of 126, 639, 451, 116 Calculator

Given Input numbers are 126, 639, 451, 116

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 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 126, 639, 451, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 639, 451, 116 is 1.

Therefore, GCD of numbers 126, 639, 451, 116 is 1

Given Input Data is 126, 639, 451, 116

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 639 is 3 x 3 x 71

Prime Factorization of 451 is 11 x 41

Prime Factorization of 116 is 2 x 2 x 29

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, 639) = 8946

GCD(126, 639) = ( 126 x 639 ) / 8946

GCD(126, 639) = 80514 / 8946

GCD(126, 639) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 451

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

LCM(9, 451) = 4059

GCD(9, 451) = ( 9 x 451 ) / 4059

GCD(9, 451) = 4059 / 4059

GCD(9, 451) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 126, 639, 451, 116 is 1

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1. What is the GCD of 126, 639, 451, 116?

GCD of 126, 639, 451, 116 is 1

2. Where do I get the detailed procedure to find GCD of 126, 639, 451, 116?

You can find a detailed procedure to find GCD of 126, 639, 451, 116 on our page.

3. How to find GCD of 126, 639, 451, 116 on a calculator?

You can find the GCD of 126, 639, 451, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.