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 522, 645, 742, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 522, 645, 742, 537 is 1
GCD(522, 645, 742, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 522, 645, 742, 537 is 1
GCD(522, 645, 742, 537) = 1
Given Input numbers are 522, 645, 742, 537
To find the GCD of numbers using factoring list out all the divisors of each number
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 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 522, 645, 742, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 645, 742, 537 is 1.
Therefore, GCD of numbers 522, 645, 742, 537 is 1
Given Input Data is 522, 645, 742, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 537 is 3 x 179
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(522, 645) = 112230
GCD(522, 645) = ( 522 x 645 ) / 112230
GCD(522, 645) = 336690 / 112230
GCD(522, 645) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 742) = 2226
GCD(3, 742) = ( 3 x 742 ) / 2226
GCD(3, 742) = 2226 / 2226
GCD(3, 742) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 537) = 537
GCD(1, 537) = ( 1 x 537 ) / 537
GCD(1, 537) = 537 / 537
GCD(1, 537) = 1
GCD of 522, 645, 742, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 522, 645, 742, 537?
GCD of 522, 645, 742, 537 is 1
2. Where do I get the detailed procedure to find GCD of 522, 645, 742, 537?
You can find a detailed procedure to find GCD of 522, 645, 742, 537 on our page.
3. How to find GCD of 522, 645, 742, 537 on a calculator?
You can find the GCD of 522, 645, 742, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.