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GCD of 638, 342, 84 Calculator

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


Online GCD Calculator is useful to find the GCD of 638, 342, 84 quickly. Get the easiest ways to solve the greatest common divisor of 638, 342, 84 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 638, 342, 84 with Factoring?

Given Input numbers are 638, 342, 84

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84


GCD of numbers is the greatest common divisor

So, the GCD (638, 342, 84) = 2.

Find GCD of 638, 342, 84 using Prime Factorization

Given numbers are 638, 342, 84

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 84 are 2 x 2 x 3 x 7

The highest common occurrence is 21

Therefore, GCD of 638, 342, 84 is 2.

Steps to Calculate GCD of 638, 342, 84 using LCM Formula

Given numbers are 638, 342, 84

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

Apply this formula for all numbers.

Step1:

LCM(638, 342) = 109098

GCD(638, 342) = ( 638 x 342 ) / 109098

= 638 / 342

= 638


Step2:

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

= 2 / 84

= 2


So, Greatest Common Divisor of 638, 342, 84 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 638, 342, 84

Given numbers are 638, 342, 84
The greatest common divisor of numbers 638, 342, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 342, 84 is 2.

FAQs on GCD of 638, 342, 84 Calculator

1. What is the GCD of 638, 342, 84?

GCD of given numbers 638, 342, 84 is 2


2. How to calculate the greatest common divisor of 638, 342, 84?

We can find the highest common divisor of 638, 342, 84 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 638, 342, 84 i.e 2.


3. How can I use the GCD of 638, 342, 84Calculator?

Out the numbers 638, 342, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.