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 632, 302, 922, 636 i.e. 2 largest integer that divides all the numbers equally.
GCD of 632, 302, 922, 636 is 2
GCD(632, 302, 922, 636) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 632, 302, 922, 636 is 2
GCD(632, 302, 922, 636) = 2
Given Input numbers are 632, 302, 922, 636
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
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
Greatest Common Divisior
We found the divisors of 632, 302, 922, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 302, 922, 636 is 2.
Therefore, GCD of numbers 632, 302, 922, 636 is 2
Given Input Data is 632, 302, 922, 636
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 302 is 2 x 151
Prime Factorization of 922 is 2 x 461
Prime Factorization of 636 is 2 x 2 x 3 x 53
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(632, 302) = 95432
GCD(632, 302) = ( 632 x 302 ) / 95432
GCD(632, 302) = 190864 / 95432
GCD(632, 302) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 922) = 922
GCD(2, 922) = ( 2 x 922 ) / 922
GCD(2, 922) = 1844 / 922
GCD(2, 922) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 636
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 636) = 636
GCD(2, 636) = ( 2 x 636 ) / 636
GCD(2, 636) = 1272 / 636
GCD(2, 636) = 2
GCD of 632, 302, 922, 636 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 632, 302, 922, 636?
GCD of 632, 302, 922, 636 is 2
2. Where do I get the detailed procedure to find GCD of 632, 302, 922, 636?
You can find a detailed procedure to find GCD of 632, 302, 922, 636 on our page.
3. How to find GCD of 632, 302, 922, 636 on a calculator?
You can find the GCD of 632, 302, 922, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.