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 402, 312, 634 i.e. 2 largest integer that divides all the numbers equally.
GCD of 402, 312, 634 is 2
GCD(402, 312, 634) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 402, 312, 634 is 2
GCD(402, 312, 634) = 2
Given Input numbers are 402, 312, 634
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Greatest Common Divisior
We found the divisors of 402, 312, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 312, 634 is 2.
Therefore, GCD of numbers 402, 312, 634 is 2
Given Input Data is 402, 312, 634
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 634 is 2 x 317
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(402, 312) = 20904
GCD(402, 312) = ( 402 x 312 ) / 20904
GCD(402, 312) = 125424 / 20904
GCD(402, 312) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 634) = 1902
GCD(6, 634) = ( 6 x 634 ) / 1902
GCD(6, 634) = 3804 / 1902
GCD(6, 634) = 2
GCD of 402, 312, 634 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 402, 312, 634?
GCD of 402, 312, 634 is 2
2. Where do I get the detailed procedure to find GCD of 402, 312, 634?
You can find a detailed procedure to find GCD of 402, 312, 634 on our page.
3. How to find GCD of 402, 312, 634 on a calculator?
You can find the GCD of 402, 312, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.