GCD of 506, 527, 80, 959 Calculator

Given Input numbers are 506, 527, 80, 959

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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 506, 527, 80, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 527, 80, 959 is 1.

Therefore, GCD of numbers 506, 527, 80, 959 is 1

Given Input Data is 506, 527, 80, 959

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 527 is 17 x 31

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

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(506, 527) = 266662

GCD(506, 527) = ( 506 x 527 ) / 266662

GCD(506, 527) = 266662 / 266662

GCD(506, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 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 506, 527, 80, 959 is 1

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1. What is the GCD of 506, 527, 80, 959?

GCD of 506, 527, 80, 959 is 1

2. Where do I get the detailed procedure to find GCD of 506, 527, 80, 959?

You can find a detailed procedure to find GCD of 506, 527, 80, 959 on our page.

3. How to find GCD of 506, 527, 80, 959 on a calculator?

You can find the GCD of 506, 527, 80, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.