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GCD of 117, 988, 909, 872 Calculator

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


Online GCD Calculator is useful to find the GCD of 117, 988, 909, 872 quickly. Get the easiest ways to solve the greatest common divisor of 117, 988, 909, 872 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 117, 988, 909, 872 with Factoring?

Given Input numbers are 117, 988, 909, 872

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872


GCD of numbers is the greatest common divisor

So, the GCD (117, 988, 909, 872) = 1.

Find GCD of 117, 988, 909, 872 using Prime Factorization

Given numbers are 117, 988, 909, 872

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 909 are 3 x 3 x 101

Prime factors of 872 are 2 x 2 x 2 x 109

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

Steps to Calculate GCD of 117, 988, 909, 872 using LCM Formula

Given numbers are 117, 988, 909, 872

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

Apply this formula for all numbers.

Step1:

LCM(117, 988) = 8892

GCD(117, 988) = ( 117 x 988 ) / 8892

= 117 / 988

= 117


Step2:

LCM(13, 909) = 11817

GCD(13, 909) = ( 13 x 909 ) / 11817

= 13 / 909

= 13


Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1


So, Greatest Common Divisor of 117, 988, 909, 872 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 117, 988, 909, 872

Given numbers are 117, 988, 909, 872
The greatest common divisor of numbers 117, 988, 909, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 988, 909, 872 is 1.

FAQs on GCD of 117, 988, 909, 872 Calculator

1. What is the GCD of 117, 988, 909, 872?

GCD of given numbers 117, 988, 909, 872 is 1


2. How to calculate the greatest common divisor of 117, 988, 909, 872?

We can find the highest common divisor of 117, 988, 909, 872 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 117, 988, 909, 872 i.e 1.


3. How can I use the GCD of 117, 988, 909, 872Calculator?

Out the numbers 117, 988, 909, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.