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GCD of 135, 990, 942, 718 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, 990, 942, 718 quickly. Get the easiest ways to solve the greatest common divisor of 135, 990, 942, 718 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 135, 990, 942, 718 with Factoring?

Given Input numbers are 135, 990, 942, 718

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 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 942 :

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

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

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718


GCD of numbers is the greatest common divisor

So, the GCD (135, 990, 942, 718) = 1.

Find GCD of 135, 990, 942, 718 using Prime Factorization

Given numbers are 135, 990, 942, 718

The list of prime factors of all numbers are

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

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 942 are 2 x 3 x 157

Prime factors of 718 are 2 x 359

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

Steps to Calculate GCD of 135, 990, 942, 718 using LCM Formula

Given numbers are 135, 990, 942, 718

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

Apply this formula for all numbers.

Step1:

LCM(135, 990) = 2970

GCD(135, 990) = ( 135 x 990 ) / 2970

= 135 / 990

= 135


Step2:

LCM(45, 942) = 14130

GCD(45, 942) = ( 45 x 942 ) / 14130

= 45 / 942

= 45


Step3:

LCM(3, 718) = 2154

GCD(3, 718) = ( 3 x 718 ) / 2154

= 3 / 718

= 3


So, Greatest Common Divisor of 135, 990, 942, 718 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 135, 990, 942, 718

Given numbers are 135, 990, 942, 718
The greatest common divisor of numbers 135, 990, 942, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 990, 942, 718 is 1.

FAQs on GCD of 135, 990, 942, 718 Calculator

1. What is the GCD of 135, 990, 942, 718?

GCD of given numbers 135, 990, 942, 718 is 1


2. How to calculate the greatest common divisor of 135, 990, 942, 718?

We can find the highest common divisor of 135, 990, 942, 718 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, 990, 942, 718 i.e 1.


3. How can I use the GCD of 135, 990, 942, 718Calculator?

Out the numbers 135, 990, 942, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.