GCD of 56, 137, 499, 310 Calculator

Given Input numbers are 56, 137, 499, 310

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

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 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 56, 137, 499, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 137, 499, 310 is 1.

Therefore, GCD of numbers 56, 137, 499, 310 is 1

Given Input Data is 56, 137, 499, 310

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

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

Prime Factorization of 137 is 137

Prime Factorization of 499 is 499

Prime Factorization of 310 is 2 x 5 x 31

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(56, 137) = 7672

GCD(56, 137) = ( 56 x 137 ) / 7672

GCD(56, 137) = 7672 / 7672

GCD(56, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 56, 137, 499, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 707, 258, 729
• GCD of 67, 389, 223, 663
• GCD of 81, 906, 867, 956
• GCD of 91, 763, 685, 805
• GCD of 11, 415, 589, 676

1. What is the GCD of 56, 137, 499, 310?

GCD of 56, 137, 499, 310 is 1

2. Where do I get the detailed procedure to find GCD of 56, 137, 499, 310?

You can find a detailed procedure to find GCD of 56, 137, 499, 310 on our page.

3. How to find GCD of 56, 137, 499, 310 on a calculator?

You can find the GCD of 56, 137, 499, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.