GCD of 762, 231, 615 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 762, 231, 615 i.e. 3 largest integer that divides all the numbers equally.

GCD of 762, 231, 615 is 3

GCD(762, 231, 615) = 3

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

GCD of

GCD of numbers 762, 231, 615 is 3

GCD(762, 231, 615) = 3

GCD of 762,231,615 Calculator

GCDof 762,231,615 is 3

Given Input numbers are 762, 231, 615

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Greatest Common Divisior

We found the divisors of 762, 231, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 231, 615 is 3.

Therefore, GCD of numbers 762, 231, 615 is 3

Finding GCD of 762, 231, 615 using Prime Factorization

Given Input Data is 762, 231, 615

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 615 is 3 x 5 x 41

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 762, 231, 615 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(762, 231) = 58674

GCD(762, 231) = ( 762 x 231 ) / 58674

GCD(762, 231) = 176022 / 58674

GCD(762, 231) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 615

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

LCM(3, 615) = 615

GCD(3, 615) = ( 3 x 615 ) / 615

GCD(3, 615) = 1845 / 615

GCD(3, 615) = 3

GCD of 762, 231, 615 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 762, 231, 615

1. What is the GCD of 762, 231, 615?

GCD of 762, 231, 615 is 3


2. Where do I get the detailed procedure to find GCD of 762, 231, 615?

You can find a detailed procedure to find GCD of 762, 231, 615 on our page.


3. How to find GCD of 762, 231, 615 on a calculator?

You can find the GCD of 762, 231, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.