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GCD of 355, 989, 108 Calculator

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


Online GCD Calculator is useful to find the GCD of 355, 989, 108 quickly. Get the easiest ways to solve the greatest common divisor of 355, 989, 108 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 355, 989, 108 with Factoring?

Given Input numbers are 355, 989, 108

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108


GCD of numbers is the greatest common divisor

So, the GCD (355, 989, 108) = 1.

Find GCD of 355, 989, 108 using Prime Factorization

Given numbers are 355, 989, 108

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 989 are 23 x 43

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

Steps to Calculate GCD of 355, 989, 108 using LCM Formula

Given numbers are 355, 989, 108

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

Apply this formula for all numbers.

Step1:

LCM(355, 989) = 351095

GCD(355, 989) = ( 355 x 989 ) / 351095

= 355 / 989

= 355


Step2:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1


So, Greatest Common Divisor of 355, 989, 108 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 355, 989, 108

Given numbers are 355, 989, 108
The greatest common divisor of numbers 355, 989, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 989, 108 is 1.

FAQs on GCD of 355, 989, 108 Calculator

1. What is the GCD of 355, 989, 108?

GCD of given numbers 355, 989, 108 is 1


2. How to calculate the greatest common divisor of 355, 989, 108?

We can find the highest common divisor of 355, 989, 108 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 355, 989, 108 i.e 1.


3. How can I use the GCD of 355, 989, 108Calculator?

Out the numbers 355, 989, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.