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 numbers 237, 765, 294 is 3
GCD(237, 765, 294) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.