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GCD of 684, 163, 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 684, 163, 84 quickly. Get the easiest ways to solve the greatest common divisor of 684, 163, 84 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 684, 163, 84 with Factoring?

Given Input numbers are 684, 163, 84

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 163 :

The positive integer divisors of 163 that completely divides 163 are.

1, 163

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 (684, 163, 84) = 1.

Find GCD of 684, 163, 84 using Prime Factorization

Given numbers are 684, 163, 84

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 163 are 163

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

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

Steps to Calculate GCD of 684, 163, 84 using LCM Formula

Given numbers are 684, 163, 84

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

Apply this formula for all numbers.

Step1:

LCM(684, 163) = 111492

GCD(684, 163) = ( 684 x 163 ) / 111492

= 684 / 163

= 684


Step2:

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

= 1 / 84

= 1


So, Greatest Common Divisor of 684, 163, 84 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 684, 163, 84

Given numbers are 684, 163, 84
The greatest common divisor of numbers 684, 163, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 163, 84 is 1.

FAQs on GCD of 684, 163, 84 Calculator

1. What is the GCD of 684, 163, 84?

GCD of given numbers 684, 163, 84 is 1


2. How to calculate the greatest common divisor of 684, 163, 84?

We can find the highest common divisor of 684, 163, 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 684, 163, 84 i.e 1.


3. How can I use the GCD of 684, 163, 84Calculator?

Out the numbers 684, 163, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.