GCD of 137, 358, 553, 272 Calculator

Given Input numbers are 137, 358, 553, 272

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 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 137, 358, 553, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 358, 553, 272 is 1.

Therefore, GCD of numbers 137, 358, 553, 272 is 1

Given Input Data is 137, 358, 553, 272

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

Prime Factorization of 137 is 137

Prime Factorization of 358 is 2 x 179

Prime Factorization of 553 is 7 x 79

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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, 358) = 49046

GCD(137, 358) = ( 137 x 358 ) / 49046

GCD(137, 358) = 49046 / 49046

GCD(137, 358) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 137, 358, 553, 272 is 1

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1. What is the GCD of 137, 358, 553, 272?

GCD of 137, 358, 553, 272 is 1

2. Where do I get the detailed procedure to find GCD of 137, 358, 553, 272?

You can find a detailed procedure to find GCD of 137, 358, 553, 272 on our page.

3. How to find GCD of 137, 358, 553, 272 on a calculator?

You can find the GCD of 137, 358, 553, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.