GCD of 137, 209, 52, 655 Calculator

Given Input numbers are 137, 209, 52, 655

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

Divisors of 137

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

1, 137

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 137, 209, 52, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 209, 52, 655 is 1.

Therefore, GCD of numbers 137, 209, 52, 655 is 1

Given Input Data is 137, 209, 52, 655

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

Prime Factorization of 137 is 137

Prime Factorization of 209 is 11 x 19

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 655 is 5 x 131

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(137, 209) = 28633

GCD(137, 209) = ( 137 x 209 ) / 28633

GCD(137, 209) = 28633 / 28633

GCD(137, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

GCD of 137, 209, 52, 655 is 1

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1. What is the GCD of 137, 209, 52, 655?

GCD of 137, 209, 52, 655 is 1

2. Where do I get the detailed procedure to find GCD of 137, 209, 52, 655?

You can find a detailed procedure to find GCD of 137, 209, 52, 655 on our page.

3. How to find GCD of 137, 209, 52, 655 on a calculator?

You can find the GCD of 137, 209, 52, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.