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GCD of 684, 681, 921, 633 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, 681, 921, 633 quickly. Get the easiest ways to solve the greatest common divisor of 684, 681, 921, 633 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 684, 681, 921, 633 with Factoring?

Given Input numbers are 684, 681, 921, 633

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 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633


GCD of numbers is the greatest common divisor

So, the GCD (684, 681, 921, 633) = 3.

Find GCD of 684, 681, 921, 633 using Prime Factorization

Given numbers are 684, 681, 921, 633

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 681 are 3 x 227

Prime factors of 921 are 3 x 307

Prime factors of 633 are 3 x 211

The highest common occurrence is 31

Therefore, GCD of 684, 681, 921, 633 is 3.

Steps to Calculate GCD of 684, 681, 921, 633 using LCM Formula

Given numbers are 684, 681, 921, 633

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

Apply this formula for all numbers.

Step1:

LCM(684, 681) = 155268

GCD(684, 681) = ( 684 x 681 ) / 155268

= 684 / 681

= 684


Step2:

LCM(3, 921) = 921

GCD(3, 921) = ( 3 x 921 ) / 921

= 3 / 921

= 3


Step3:

LCM(3, 633) = 633

GCD(3, 633) = ( 3 x 633 ) / 633

= 3 / 633

= 3


So, Greatest Common Divisor of 684, 681, 921, 633 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 684, 681, 921, 633

Given numbers are 684, 681, 921, 633
The greatest common divisor of numbers 684, 681, 921, 633 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 681, 921, 633 is 3.

FAQs on GCD of 684, 681, 921, 633 Calculator

1. What is the GCD of 684, 681, 921, 633?

GCD of given numbers 684, 681, 921, 633 is 3


2. How to calculate the greatest common divisor of 684, 681, 921, 633?

We can find the highest common divisor of 684, 681, 921, 633 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, 681, 921, 633 i.e 3.


3. How can I use the GCD of 684, 681, 921, 633Calculator?

Out the numbers 684, 681, 921, 633 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.