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GCD of 621, 108, 689 Calculator

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


Online GCD Calculator is useful to find the GCD of 621, 108, 689 quickly. Get the easiest ways to solve the greatest common divisor of 621, 108, 689 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 621, 108, 689 with Factoring?

Given Input numbers are 621, 108, 689

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

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

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 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689


GCD of numbers is the greatest common divisor

So, the GCD (621, 108, 689) = 1.

Find GCD of 621, 108, 689 using Prime Factorization

Given numbers are 621, 108, 689

The list of prime factors of all numbers are

Prime factors of 621 are 3 x 3 x 3 x 23

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

Prime factors of 689 are 13 x 53

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

Steps to Calculate GCD of 621, 108, 689 using LCM Formula

Given numbers are 621, 108, 689

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

Apply this formula for all numbers.

Step1:

LCM(621, 108) = 2484

GCD(621, 108) = ( 621 x 108 ) / 2484

= 621 / 108

= 621


Step2:

LCM(27, 689) = 18603

GCD(27, 689) = ( 27 x 689 ) / 18603

= 27 / 689

= 27


So, Greatest Common Divisor of 621, 108, 689 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 621, 108, 689

Given numbers are 621, 108, 689
The greatest common divisor of numbers 621, 108, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 621, 108, 689 is 1.

FAQs on GCD of 621, 108, 689 Calculator

1. What is the GCD of 621, 108, 689?

GCD of given numbers 621, 108, 689 is 1


2. How to calculate the greatest common divisor of 621, 108, 689?

We can find the highest common divisor of 621, 108, 689 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 621, 108, 689 i.e 1.


3. How can I use the GCD of 621, 108, 689Calculator?

Out the numbers 621, 108, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.