Where do I get the detailed procedure to find GCD of 684, 380, 902?

You can find a detailed procedure to find GCD of 684, 380, 902 on our page.

How to find GCD of 684, 380, 902 on a calculator?

You can find the GCD of 684, 380, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 684, 380, 902 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, 380, 902 quickly. Get the easiest ways to solve the greatest common divisor of 684, 380, 902 i.e 2 in different methods as follows.

How to Find GCD of Numbers 684, 380, 902 with Factoring?

Given Input numbers are 684, 380, 902

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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

GCD of numbers is the greatest common divisor

So, the GCD (684, 380, 902) = 2.

Find GCD of 684, 380, 902 using Prime Factorization

Given numbers are 684, 380, 902

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 380 are 2 x 2 x 5 x 19

Prime factors of 902 are 2 x 11 x 41

The highest common occurrence is 2¹

Therefore, GCD of 684, 380, 902 is 2.

Steps to Calculate GCD of 684, 380, 902 using LCM Formula

Given numbers are 684, 380, 902

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

Apply this formula for all numbers.

Step1:

LCM(684, 380) = 3420

GCD(684, 380) = ( 684 x 380 ) / 3420

= 684 / 380

= 684

Step2:

LCM(76, 902) = 34276

GCD(76, 902) = ( 76 x 902 ) / 34276

= 76 / 902

= 76

So, Greatest Common Divisor of 684, 380, 902 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 684, 380, 902

Given numbers are 684, 380, 902
The greatest common divisor of numbers 684, 380, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 380, 902 is 2.

FAQs on GCD of 684, 380, 902 Calculator

1. What is the GCD of 684, 380, 902?

GCD of given numbers 684, 380, 902 is 2

2. How to calculate the greatest common divisor of 684, 380, 902?

We can find the highest common divisor of 684, 380, 902 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, 380, 902 i.e 2.

3. How can I use the GCD of 684, 380, 902Calculator?

Out the numbers 684, 380, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.