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 772, 220, 41, 808 i.e. 1 largest integer that divides all the numbers equally.
GCD of 772, 220, 41, 808 is 1
GCD(772, 220, 41, 808) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 772, 220, 41, 808 is 1
GCD(772, 220, 41, 808) = 1
Given Input numbers are 772, 220, 41, 808
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Greatest Common Divisior
We found the divisors of 772, 220, 41, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 220, 41, 808 is 1.
Therefore, GCD of numbers 772, 220, 41, 808 is 1
Given Input Data is 772, 220, 41, 808
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 41 is 41
Prime Factorization of 808 is 2 x 2 x 2 x 101
The above numbers do not have any common prime factor. So GCD is 1
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(772, 220) = 42460
GCD(772, 220) = ( 772 x 220 ) / 42460
GCD(772, 220) = 169840 / 42460
GCD(772, 220) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 41) = 164
GCD(4, 41) = ( 4 x 41 ) / 164
GCD(4, 41) = 164 / 164
GCD(4, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
GCD of 772, 220, 41, 808 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 772, 220, 41, 808?
GCD of 772, 220, 41, 808 is 1
2. Where do I get the detailed procedure to find GCD of 772, 220, 41, 808?
You can find a detailed procedure to find GCD of 772, 220, 41, 808 on our page.
3. How to find GCD of 772, 220, 41, 808 on a calculator?
You can find the GCD of 772, 220, 41, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.