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 771, 108, 57, 353 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 108, 57, 353 is 1
GCD(771, 108, 57, 353) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 108, 57, 353 is 1
GCD(771, 108, 57, 353) = 1
Given Input numbers are 771, 108, 57, 353
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Greatest Common Divisior
We found the divisors of 771, 108, 57, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 108, 57, 353 is 1.
Therefore, GCD of numbers 771, 108, 57, 353 is 1
Given Input Data is 771, 108, 57, 353
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 57 is 3 x 19
Prime Factorization of 353 is 353
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(771, 108) = 27756
GCD(771, 108) = ( 771 x 108 ) / 27756
GCD(771, 108) = 83268 / 27756
GCD(771, 108) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 57) = 57
GCD(3, 57) = ( 3 x 57 ) / 57
GCD(3, 57) = 171 / 57
GCD(3, 57) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 353) = 1059
GCD(3, 353) = ( 3 x 353 ) / 1059
GCD(3, 353) = 1059 / 1059
GCD(3, 353) = 1
GCD of 771, 108, 57, 353 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 108, 57, 353?
GCD of 771, 108, 57, 353 is 1
2. Where do I get the detailed procedure to find GCD of 771, 108, 57, 353?
You can find a detailed procedure to find GCD of 771, 108, 57, 353 on our page.
3. How to find GCD of 771, 108, 57, 353 on a calculator?
You can find the GCD of 771, 108, 57, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.