GCD of 640, 836, 684 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 640, 836, 684 i.e. 4 largest integer that divides all the numbers equally.

GCD of 640, 836, 684 is 4

GCD(640, 836, 684) = 4

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 640, 836, 684 is 4

GCD(640, 836, 684) = 4

GCD of 640,836,684 Calculator

GCDof 640,836,684 is 4

Given Input numbers are 640, 836, 684

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

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

Greatest Common Divisior

We found the divisors of 640, 836, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 836, 684 is 4.

Therefore, GCD of numbers 640, 836, 684 is 4

Finding GCD of 640, 836, 684 using Prime Factorization

Given Input Data is 640, 836, 684

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 640, 836, 684 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(640, 836) = 133760

GCD(640, 836) = ( 640 x 836 ) / 133760

GCD(640, 836) = 535040 / 133760

GCD(640, 836) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 684

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

LCM(4, 684) = 684

GCD(4, 684) = ( 4 x 684 ) / 684

GCD(4, 684) = 2736 / 684

GCD(4, 684) = 4

GCD of 640, 836, 684 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 640, 836, 684

1. What is the GCD of 640, 836, 684?

GCD of 640, 836, 684 is 4


2. Where do I get the detailed procedure to find GCD of 640, 836, 684?

You can find a detailed procedure to find GCD of 640, 836, 684 on our page.


3. How to find GCD of 640, 836, 684 on a calculator?

You can find the GCD of 640, 836, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.