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GCD of 135, 132, 296 Calculator

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


Online GCD Calculator is useful to find the GCD of 135, 132, 296 quickly. Get the easiest ways to solve the greatest common divisor of 135, 132, 296 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 135, 132, 296 with Factoring?

Given Input numbers are 135, 132, 296

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

Divisors of 135 :

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

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296


GCD of numbers is the greatest common divisor

So, the GCD (135, 132, 296) = 1.

Find GCD of 135, 132, 296 using Prime Factorization

Given numbers are 135, 132, 296

The list of prime factors of all numbers are

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

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 296 are 2 x 2 x 2 x 37

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

Steps to Calculate GCD of 135, 132, 296 using LCM Formula

Given numbers are 135, 132, 296

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

Apply this formula for all numbers.

Step1:

LCM(135, 132) = 5940

GCD(135, 132) = ( 135 x 132 ) / 5940

= 135 / 132

= 135


Step2:

LCM(3, 296) = 888

GCD(3, 296) = ( 3 x 296 ) / 888

= 3 / 296

= 3


So, Greatest Common Divisor of 135, 132, 296 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 135, 132, 296

Given numbers are 135, 132, 296
The greatest common divisor of numbers 135, 132, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 132, 296 is 1.

FAQs on GCD of 135, 132, 296 Calculator

1. What is the GCD of 135, 132, 296?

GCD of given numbers 135, 132, 296 is 1


2. How to calculate the greatest common divisor of 135, 132, 296?

We can find the highest common divisor of 135, 132, 296 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 135, 132, 296 i.e 1.


3. How can I use the GCD of 135, 132, 296Calculator?

Out the numbers 135, 132, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.