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 636, 474, 602 i.e. 2 largest integer that divides all the numbers equally.
GCD of 636, 474, 602 is 2
GCD(636, 474, 602) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 636, 474, 602 is 2
GCD(636, 474, 602) = 2
Given Input numbers are 636, 474, 602
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Greatest Common Divisior
We found the divisors of 636, 474, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 474, 602 is 2.
Therefore, GCD of numbers 636, 474, 602 is 2
Given Input Data is 636, 474, 602
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 602 is 2 x 7 x 43
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(636, 474) = 50244
GCD(636, 474) = ( 636 x 474 ) / 50244
GCD(636, 474) = 301464 / 50244
GCD(636, 474) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 602) = 1806
GCD(6, 602) = ( 6 x 602 ) / 1806
GCD(6, 602) = 3612 / 1806
GCD(6, 602) = 2
GCD of 636, 474, 602 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 636, 474, 602?
GCD of 636, 474, 602 is 2
2. Where do I get the detailed procedure to find GCD of 636, 474, 602?
You can find a detailed procedure to find GCD of 636, 474, 602 on our page.
3. How to find GCD of 636, 474, 602 on a calculator?
You can find the GCD of 636, 474, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.