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GCD of 942, 771, 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 942, 771, 135 quickly. Get the easiest ways to solve the greatest common divisor of 942, 771, 135 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 942, 771, 135 with Factoring?

Given Input numbers are 942, 771, 135

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

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

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 (942, 771, 135) = 3.

Find GCD of 942, 771, 135 using Prime Factorization

Given numbers are 942, 771, 135

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 771 are 3 x 257

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

The highest common occurrence is 31

Therefore, GCD of 942, 771, 135 is 3.

Steps to Calculate GCD of 942, 771, 135 using LCM Formula

Given numbers are 942, 771, 135

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

Apply this formula for all numbers.

Step1:

LCM(942, 771) = 242094

GCD(942, 771) = ( 942 x 771 ) / 242094

= 942 / 771

= 942


Step2:

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

= 3 / 135

= 3


So, Greatest Common Divisor of 942, 771, 135 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 942, 771, 135

Given numbers are 942, 771, 135
The greatest common divisor of numbers 942, 771, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 771, 135 is 3.

FAQs on GCD of 942, 771, 135 Calculator

1. What is the GCD of 942, 771, 135?

GCD of given numbers 942, 771, 135 is 3


2. How to calculate the greatest common divisor of 942, 771, 135?

We can find the highest common divisor of 942, 771, 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 942, 771, 135 i.e 3.


3. How can I use the GCD of 942, 771, 135Calculator?

Out the numbers 942, 771, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.