GCD of 237, 765, 294 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 237, 765, 294 i.e. 3 largest integer that divides all the numbers equally.

GCD of 237, 765, 294 is 3

GCD(237, 765, 294) = 3

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

GCD of

GCD of numbers 237, 765, 294 is 3

GCD(237, 765, 294) = 3

GCD of 237,765,294 Calculator

GCDof 237,765,294 is 3

Given Input numbers are 237, 765, 294

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

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 237, 765, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 765, 294 is 3.

Therefore, GCD of numbers 237, 765, 294 is 3

Finding GCD of 237, 765, 294 using Prime Factorization

Given Input Data is 237, 765, 294

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

Prime Factorization of 237 is 3 x 79

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 294 is 2 x 3 x 7 x 7

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 237, 765, 294 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(237, 765) = 60435

GCD(237, 765) = ( 237 x 765 ) / 60435

GCD(237, 765) = 181305 / 60435

GCD(237, 765) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 294

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

LCM(3, 294) = 294

GCD(3, 294) = ( 3 x 294 ) / 294

GCD(3, 294) = 882 / 294

GCD(3, 294) = 3

GCD of 237, 765, 294 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 237, 765, 294

1. What is the GCD of 237, 765, 294?

GCD of 237, 765, 294 is 3


2. Where do I get the detailed procedure to find GCD of 237, 765, 294?

You can find a detailed procedure to find GCD of 237, 765, 294 on our page.


3. How to find GCD of 237, 765, 294 on a calculator?

You can find the GCD of 237, 765, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.