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GCD of 137, 154, 107, 135 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 137, 154, 107, 135 quickly. Get the easiest ways to solve the greatest common divisor of 137, 154, 107, 135 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 137, 154, 107, 135 with Factoring?

Given Input numbers are 137, 154, 107, 135

In the factoring method, we have to find the divisors of all numbers

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135


GCD of numbers is the greatest common divisor

So, the GCD (137, 154, 107, 135) = 1.

Find GCD of 137, 154, 107, 135 using Prime Factorization

Given numbers are 137, 154, 107, 135

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 154 are 2 x 7 x 11

Prime factors of 107 are 107

Prime factors of 135 are 3 x 3 x 3 x 5

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

Steps to Calculate GCD of 137, 154, 107, 135 using LCM Formula

Given numbers are 137, 154, 107, 135

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(137, 154) = 21098

GCD(137, 154) = ( 137 x 154 ) / 21098

= 137 / 154

= 137


Step2:

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

= 1 / 107

= 1


Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1


So, Greatest Common Divisor of 137, 154, 107, 135 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 137, 154, 107, 135

Given numbers are 137, 154, 107, 135
The greatest common divisor of numbers 137, 154, 107, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 154, 107, 135 is 1.

FAQs on GCD of 137, 154, 107, 135 Calculator

1. What is the GCD of 137, 154, 107, 135?

GCD of given numbers 137, 154, 107, 135 is 1


2. How to calculate the greatest common divisor of 137, 154, 107, 135?

We can find the highest common divisor of 137, 154, 107, 135 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 137, 154, 107, 135 i.e 1.


3. How can I use the GCD of 137, 154, 107, 135Calculator?

Out the numbers 137, 154, 107, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.