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 618, 364, 37, 522 i.e. 1 largest integer that divides all the numbers equally.
GCD of 618, 364, 37, 522 is 1
GCD(618, 364, 37, 522) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 618, 364, 37, 522 is 1
GCD(618, 364, 37, 522) = 1
Given Input numbers are 618, 364, 37, 522
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
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
Greatest Common Divisior
We found the divisors of 618, 364, 37, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 364, 37, 522 is 1.
Therefore, GCD of numbers 618, 364, 37, 522 is 1
Given Input Data is 618, 364, 37, 522
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 37 is 37
Prime Factorization of 522 is 2 x 3 x 3 x 29
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(618, 364) = 112476
GCD(618, 364) = ( 618 x 364 ) / 112476
GCD(618, 364) = 224952 / 112476
GCD(618, 364) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 37) = 74
GCD(2, 37) = ( 2 x 37 ) / 74
GCD(2, 37) = 74 / 74
GCD(2, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 522
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 522) = 522
GCD(1, 522) = ( 1 x 522 ) / 522
GCD(1, 522) = 522 / 522
GCD(1, 522) = 1
GCD of 618, 364, 37, 522 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 618, 364, 37, 522?
GCD of 618, 364, 37, 522 is 1
2. Where do I get the detailed procedure to find GCD of 618, 364, 37, 522?
You can find a detailed procedure to find GCD of 618, 364, 37, 522 on our page.
3. How to find GCD of 618, 364, 37, 522 on a calculator?
You can find the GCD of 618, 364, 37, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.