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GCD of 108, 818, 218, 664 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, 818, 218, 664 quickly. Get the easiest ways to solve the greatest common divisor of 108, 818, 218, 664 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 108, 818, 218, 664 with Factoring?

Given Input numbers are 108, 818, 218, 664

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 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664


GCD of numbers is the greatest common divisor

So, the GCD (108, 818, 218, 664) = 2.

Find GCD of 108, 818, 218, 664 using Prime Factorization

Given numbers are 108, 818, 218, 664

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 818 are 2 x 409

Prime factors of 218 are 2 x 109

Prime factors of 664 are 2 x 2 x 2 x 83

The highest common occurrence is 21

Therefore, GCD of 108, 818, 218, 664 is 2.

Steps to Calculate GCD of 108, 818, 218, 664 using LCM Formula

Given numbers are 108, 818, 218, 664

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

Apply this formula for all numbers.

Step1:

LCM(108, 818) = 44172

GCD(108, 818) = ( 108 x 818 ) / 44172

= 108 / 818

= 108


Step2:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2


Step3:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2


So, Greatest Common Divisor of 108, 818, 218, 664 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 108, 818, 218, 664

Given numbers are 108, 818, 218, 664
The greatest common divisor of numbers 108, 818, 218, 664 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 818, 218, 664 is 2.

FAQs on GCD of 108, 818, 218, 664 Calculator

1. What is the GCD of 108, 818, 218, 664?

GCD of given numbers 108, 818, 218, 664 is 2


2. How to calculate the greatest common divisor of 108, 818, 218, 664?

We can find the highest common divisor of 108, 818, 218, 664 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, 818, 218, 664 i.e 2.


3. How can I use the GCD of 108, 818, 218, 664Calculator?

Out the numbers 108, 818, 218, 664 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.