GCD of 51, 856, 501, 959 Calculator

Given Input numbers are 51, 856, 501, 959

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 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 51, 856, 501, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 856, 501, 959 is 1.

Therefore, GCD of numbers 51, 856, 501, 959 is 1

Given Input Data is 51, 856, 501, 959

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 501 is 3 x 167

Prime Factorization of 959 is 7 x 137

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, 856) = 43656

GCD(51, 856) = ( 51 x 856 ) / 43656

GCD(51, 856) = 43656 / 43656

GCD(51, 856) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 51, 856, 501, 959 is 1

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1. What is the GCD of 51, 856, 501, 959?

GCD of 51, 856, 501, 959 is 1

2. Where do I get the detailed procedure to find GCD of 51, 856, 501, 959?

You can find a detailed procedure to find GCD of 51, 856, 501, 959 on our page.

3. How to find GCD of 51, 856, 501, 959 on a calculator?

You can find the GCD of 51, 856, 501, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.