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GCD of 654, 236, 796, 684 Calculator

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


Online GCD Calculator is useful to find the GCD of 654, 236, 796, 684 quickly. Get the easiest ways to solve the greatest common divisor of 654, 236, 796, 684 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 654, 236, 796, 684 with Factoring?

Given Input numbers are 654, 236, 796, 684

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

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


GCD of numbers is the greatest common divisor

So, the GCD (654, 236, 796, 684) = 2.

Find GCD of 654, 236, 796, 684 using Prime Factorization

Given numbers are 654, 236, 796, 684

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 236 are 2 x 2 x 59

Prime factors of 796 are 2 x 2 x 199

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

The highest common occurrence is 21

Therefore, GCD of 654, 236, 796, 684 is 2.

Steps to Calculate GCD of 654, 236, 796, 684 using LCM Formula

Given numbers are 654, 236, 796, 684

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

Apply this formula for all numbers.

Step1:

LCM(654, 236) = 77172

GCD(654, 236) = ( 654 x 236 ) / 77172

= 654 / 236

= 654


Step2:

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

= 2 / 796

= 2


Step3:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2


So, Greatest Common Divisor of 654, 236, 796, 684 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 654, 236, 796, 684

Given numbers are 654, 236, 796, 684
The greatest common divisor of numbers 654, 236, 796, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 236, 796, 684 is 2.

FAQs on GCD of 654, 236, 796, 684 Calculator

1. What is the GCD of 654, 236, 796, 684?

GCD of given numbers 654, 236, 796, 684 is 2


2. How to calculate the greatest common divisor of 654, 236, 796, 684?

We can find the highest common divisor of 654, 236, 796, 684 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 654, 236, 796, 684 i.e 2.


3. How can I use the GCD of 654, 236, 796, 684Calculator?

Out the numbers 654, 236, 796, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.