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GCD of 108, 809, 97 Calculator

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


Online GCD Calculator is useful to find the GCD of 108, 809, 97 quickly. Get the easiest ways to solve the greatest common divisor of 108, 809, 97 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 108, 809, 97 with Factoring?

Given Input numbers are 108, 809, 97

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

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

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 97 :

The positive integer divisors of 97 that completely divides 97 are.

1, 97


GCD of numbers is the greatest common divisor

So, the GCD (108, 809, 97) = 1.

Find GCD of 108, 809, 97 using Prime Factorization

Given numbers are 108, 809, 97

The list of prime factors of all numbers are

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

Prime factors of 809 are 809

Prime factors of 97 are 97

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

Steps to Calculate GCD of 108, 809, 97 using LCM Formula

Given numbers are 108, 809, 97

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

Apply this formula for all numbers.

Step1:

LCM(108, 809) = 87372

GCD(108, 809) = ( 108 x 809 ) / 87372

= 108 / 809

= 108


Step2:

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

= 1 / 97

= 1


So, Greatest Common Divisor of 108, 809, 97 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 108, 809, 97

Given numbers are 108, 809, 97
The greatest common divisor of numbers 108, 809, 97 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 809, 97 is 1.

FAQs on GCD of 108, 809, 97 Calculator

1. What is the GCD of 108, 809, 97?

GCD of given numbers 108, 809, 97 is 1


2. How to calculate the greatest common divisor of 108, 809, 97?

We can find the highest common divisor of 108, 809, 97 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 108, 809, 97 i.e 1.


3. How can I use the GCD of 108, 809, 97Calculator?

Out the numbers 108, 809, 97 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.