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 377, 522, 663 i.e. 1 largest integer that divides all the numbers equally.
GCD of 377, 522, 663 is 1
GCD(377, 522, 663) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 377, 522, 663 is 1
GCD(377, 522, 663) = 1
Given Input numbers are 377, 522, 663
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Greatest Common Divisior
We found the divisors of 377, 522, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 377, 522, 663 is 1.
Therefore, GCD of numbers 377, 522, 663 is 1
Given Input Data is 377, 522, 663
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 377 is 13 x 29
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 663 is 3 x 13 x 17
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(377, 522) = 6786
GCD(377, 522) = ( 377 x 522 ) / 6786
GCD(377, 522) = 196794 / 6786
GCD(377, 522) = 29
Step2:
Here we consider the GCD from the above i.e. 29 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(29, 663) = 19227
GCD(29, 663) = ( 29 x 663 ) / 19227
GCD(29, 663) = 19227 / 19227
GCD(29, 663) = 1
GCD of 377, 522, 663 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 377, 522, 663?
GCD of 377, 522, 663 is 1
2. Where do I get the detailed procedure to find GCD of 377, 522, 663?
You can find a detailed procedure to find GCD of 377, 522, 663 on our page.
3. How to find GCD of 377, 522, 663 on a calculator?
You can find the GCD of 377, 522, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.