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 57, 772, 330, 331 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 772, 330, 331 is 1
GCD(57, 772, 330, 331) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 772, 330, 331 is 1
GCD(57, 772, 330, 331) = 1
Given Input numbers are 57, 772, 330, 331
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Greatest Common Divisior
We found the divisors of 57, 772, 330, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 772, 330, 331 is 1.
Therefore, GCD of numbers 57, 772, 330, 331 is 1
Given Input Data is 57, 772, 330, 331
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 331 is 331
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(57, 772) = 44004
GCD(57, 772) = ( 57 x 772 ) / 44004
GCD(57, 772) = 44004 / 44004
GCD(57, 772) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 330) = 330
GCD(1, 330) = ( 1 x 330 ) / 330
GCD(1, 330) = 330 / 330
GCD(1, 330) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
GCD of 57, 772, 330, 331 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 772, 330, 331?
GCD of 57, 772, 330, 331 is 1
2. Where do I get the detailed procedure to find GCD of 57, 772, 330, 331?
You can find a detailed procedure to find GCD of 57, 772, 330, 331 on our page.
3. How to find GCD of 57, 772, 330, 331 on a calculator?
You can find the GCD of 57, 772, 330, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.