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 numbers 762, 231, 615 is 3
GCD(762, 231, 615) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.