GCD of 130, 157, 56, 538 Calculator

Given Input numbers are 130, 157, 56, 538

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

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 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 130, 157, 56, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 157, 56, 538 is 1.

Therefore, GCD of numbers 130, 157, 56, 538 is 1

Given Input Data is 130, 157, 56, 538

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 157 is 157

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 538 is 2 x 269

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(130, 157) = 20410

GCD(130, 157) = ( 130 x 157 ) / 20410

GCD(130, 157) = 20410 / 20410

GCD(130, 157) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 130, 157, 56, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 800, 12, 740
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• GCD of 337, 947, 96, 784

1. What is the GCD of 130, 157, 56, 538?

GCD of 130, 157, 56, 538 is 1

2. Where do I get the detailed procedure to find GCD of 130, 157, 56, 538?

You can find a detailed procedure to find GCD of 130, 157, 56, 538 on our page.

3. How to find GCD of 130, 157, 56, 538 on a calculator?

You can find the GCD of 130, 157, 56, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.