GCD of 51, 130, 797, 456 Calculator

Given Input numbers are 51, 130, 797, 456

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 51, 130, 797, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 130, 797, 456 is 1.

Therefore, GCD of numbers 51, 130, 797, 456 is 1

Given Input Data is 51, 130, 797, 456

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 797 is 797

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(51, 130) = 6630

GCD(51, 130) = ( 51 x 130 ) / 6630

GCD(51, 130) = 6630 / 6630

GCD(51, 130) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 797

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

LCM(1, 797) = 797

GCD(1, 797) = ( 1 x 797 ) / 797

GCD(1, 797) = 797 / 797

GCD(1, 797) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 51, 130, 797, 456 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 477, 651, 254
• GCD of 64, 412, 517, 752
• GCD of 74, 203, 837, 523
• GCD of 86, 172, 797, 475
• GCD of 75, 534, 350, 199

1. What is the GCD of 51, 130, 797, 456?

GCD of 51, 130, 797, 456 is 1

2. Where do I get the detailed procedure to find GCD of 51, 130, 797, 456?

You can find a detailed procedure to find GCD of 51, 130, 797, 456 on our page.

3. How to find GCD of 51, 130, 797, 456 on a calculator?

You can find the GCD of 51, 130, 797, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.