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 242, 636, 76, 788 i.e. 2 largest integer that divides all the numbers equally.
GCD of 242, 636, 76, 788 is 2
GCD(242, 636, 76, 788) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 242, 636, 76, 788 is 2
GCD(242, 636, 76, 788) = 2
Given Input numbers are 242, 636, 76, 788
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
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 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Greatest Common Divisior
We found the divisors of 242, 636, 76, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 636, 76, 788 is 2.
Therefore, GCD of numbers 242, 636, 76, 788 is 2
Given Input Data is 242, 636, 76, 788
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 788 is 2 x 2 x 197
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(242, 636) = 76956
GCD(242, 636) = ( 242 x 636 ) / 76956
GCD(242, 636) = 153912 / 76956
GCD(242, 636) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 76) = 76
GCD(2, 76) = ( 2 x 76 ) / 76
GCD(2, 76) = 152 / 76
GCD(2, 76) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 788) = 788
GCD(2, 788) = ( 2 x 788 ) / 788
GCD(2, 788) = 1576 / 788
GCD(2, 788) = 2
GCD of 242, 636, 76, 788 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 242, 636, 76, 788?
GCD of 242, 636, 76, 788 is 2
2. Where do I get the detailed procedure to find GCD of 242, 636, 76, 788?
You can find a detailed procedure to find GCD of 242, 636, 76, 788 on our page.
3. How to find GCD of 242, 636, 76, 788 on a calculator?
You can find the GCD of 242, 636, 76, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.