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 612, 952, 596 i.e. 4 largest integer that divides all the numbers equally.
GCD of 612, 952, 596 is 4
GCD(612, 952, 596) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 612, 952, 596 is 4
GCD(612, 952, 596) = 4
Given Input numbers are 612, 952, 596
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Greatest Common Divisior
We found the divisors of 612, 952, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 952, 596 is 4.
Therefore, GCD of numbers 612, 952, 596 is 4
Given Input Data is 612, 952, 596
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 596 is 2 x 2 x 149
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(612, 952) = 8568
GCD(612, 952) = ( 612 x 952 ) / 8568
GCD(612, 952) = 582624 / 8568
GCD(612, 952) = 68
Step2:
Here we consider the GCD from the above i.e. 68 as first number and the next as 596
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(68, 596) = 10132
GCD(68, 596) = ( 68 x 596 ) / 10132
GCD(68, 596) = 40528 / 10132
GCD(68, 596) = 4
GCD of 612, 952, 596 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 612, 952, 596?
GCD of 612, 952, 596 is 4
2. Where do I get the detailed procedure to find GCD of 612, 952, 596?
You can find a detailed procedure to find GCD of 612, 952, 596 on our page.
3. How to find GCD of 612, 952, 596 on a calculator?
You can find the GCD of 612, 952, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.