GCD of 137, 149, 355 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 137, 149, 355 i.e. 1 largest integer that divides all the numbers equally.

GCD of 137, 149, 355 is 1

GCD(137, 149, 355) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 137, 149, 355 is 1

GCD(137, 149, 355) = 1

GCD of 137,149,355 Calculator

GCDof 137,149,355 is 1

Given Input numbers are 137, 149, 355

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 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 137, 149, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 149, 355 is 1.

Therefore, GCD of numbers 137, 149, 355 is 1

Finding GCD of 137, 149, 355 using Prime Factorization

Given Input Data is 137, 149, 355

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

Prime Factorization of 137 is 137

Prime Factorization of 149 is 149

Prime Factorization of 355 is 5 x 71

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 137, 149, 355 using LCM Formula

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, 149) = 20413

GCD(137, 149) = ( 137 x 149 ) / 20413

GCD(137, 149) = 20413 / 20413

GCD(137, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 137, 149, 355 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 137, 149, 355

1. What is the GCD of 137, 149, 355?

GCD of 137, 149, 355 is 1

2. Where do I get the detailed procedure to find GCD of 137, 149, 355?

You can find a detailed procedure to find GCD of 137, 149, 355 on our page.

3. How to find GCD of 137, 149, 355 on a calculator?

You can find the GCD of 137, 149, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.