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GCD of 684, 624, 908, 632 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, 624, 908, 632 quickly. Get the easiest ways to solve the greatest common divisor of 684, 624, 908, 632 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 684, 624, 908, 632 with Factoring?

Given Input numbers are 684, 624, 908, 632

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 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632


GCD of numbers is the greatest common divisor

So, the GCD (684, 624, 908, 632) = 4.

Find GCD of 684, 624, 908, 632 using Prime Factorization

Given numbers are 684, 624, 908, 632

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 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 908 are 2 x 2 x 227

Prime factors of 632 are 2 x 2 x 2 x 79

The highest common occurrence is 22

Therefore, GCD of 684, 624, 908, 632 is 4.

Steps to Calculate GCD of 684, 624, 908, 632 using LCM Formula

Given numbers are 684, 624, 908, 632

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

Apply this formula for all numbers.

Step1:

LCM(684, 624) = 35568

GCD(684, 624) = ( 684 x 624 ) / 35568

= 684 / 624

= 684


Step2:

LCM(12, 908) = 2724

GCD(12, 908) = ( 12 x 908 ) / 2724

= 12 / 908

= 12


Step3:

LCM(4, 632) = 632

GCD(4, 632) = ( 4 x 632 ) / 632

= 4 / 632

= 4


So, Greatest Common Divisor of 684, 624, 908, 632 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 684, 624, 908, 632

Given numbers are 684, 624, 908, 632
The greatest common divisor of numbers 684, 624, 908, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 624, 908, 632 is 4.

FAQs on GCD of 684, 624, 908, 632 Calculator

1. What is the GCD of 684, 624, 908, 632?

GCD of given numbers 684, 624, 908, 632 is 4


2. How to calculate the greatest common divisor of 684, 624, 908, 632?

We can find the highest common divisor of 684, 624, 908, 632 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, 624, 908, 632 i.e 4.


3. How can I use the GCD of 684, 624, 908, 632Calculator?

Out the numbers 684, 624, 908, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.