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 915, 618, 996 i.e. 3 largest integer that divides all the numbers equally.
GCD of 915, 618, 996 is 3
GCD(915, 618, 996) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 915, 618, 996 is 3
GCD(915, 618, 996) = 3
Given Input numbers are 915, 618, 996
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Greatest Common Divisior
We found the divisors of 915, 618, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 618, 996 is 3.
Therefore, GCD of numbers 915, 618, 996 is 3
Given Input Data is 915, 618, 996
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 915 is 3 x 5 x 61
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 996 is 2 x 2 x 3 x 83
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(915, 618) = 188490
GCD(915, 618) = ( 915 x 618 ) / 188490
GCD(915, 618) = 565470 / 188490
GCD(915, 618) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 996) = 996
GCD(3, 996) = ( 3 x 996 ) / 996
GCD(3, 996) = 2988 / 996
GCD(3, 996) = 3
GCD of 915, 618, 996 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 915, 618, 996?
GCD of 915, 618, 996 is 3
2. Where do I get the detailed procedure to find GCD of 915, 618, 996?
You can find a detailed procedure to find GCD of 915, 618, 996 on our page.
3. How to find GCD of 915, 618, 996 on a calculator?
You can find the GCD of 915, 618, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.