GCD of 636, 380, 766 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 636, 380, 766 i.e. 2 largest integer that divides all the numbers equally.

GCD of 636, 380, 766 is 2

GCD(636, 380, 766) = 2

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

GCD of

GCD of numbers 636, 380, 766 is 2

GCD(636, 380, 766) = 2

GCD of 636,380,766 Calculator

GCDof 636,380,766 is 2

Given Input numbers are 636, 380, 766

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 636, 380, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 380, 766 is 2.

Therefore, GCD of numbers 636, 380, 766 is 2

Finding GCD of 636, 380, 766 using Prime Factorization

Given Input Data is 636, 380, 766

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 766 is 2 x 383

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 636, 380, 766 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(636, 380) = 60420

GCD(636, 380) = ( 636 x 380 ) / 60420

GCD(636, 380) = 241680 / 60420

GCD(636, 380) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 766

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

LCM(4, 766) = 1532

GCD(4, 766) = ( 4 x 766 ) / 1532

GCD(4, 766) = 3064 / 1532

GCD(4, 766) = 2

GCD of 636, 380, 766 is 2

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FAQs on GCD of numbers 636, 380, 766

1. What is the GCD of 636, 380, 766?

GCD of 636, 380, 766 is 2

2. Where do I get the detailed procedure to find GCD of 636, 380, 766?

You can find a detailed procedure to find GCD of 636, 380, 766 on our page.

3. How to find GCD of 636, 380, 766 on a calculator?

You can find the GCD of 636, 380, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.