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 537, 702, 37, 637 i.e. 1 largest integer that divides all the numbers equally.
GCD of 537, 702, 37, 637 is 1
GCD(537, 702, 37, 637) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 537, 702, 37, 637 is 1
GCD(537, 702, 37, 637) = 1
Given Input numbers are 537, 702, 37, 637
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Greatest Common Divisior
We found the divisors of 537, 702, 37, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 702, 37, 637 is 1.
Therefore, GCD of numbers 537, 702, 37, 637 is 1
Given Input Data is 537, 702, 37, 637
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 537 is 3 x 179
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 37 is 37
Prime Factorization of 637 is 7 x 7 x 13
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(537, 702) = 125658
GCD(537, 702) = ( 537 x 702 ) / 125658
GCD(537, 702) = 376974 / 125658
GCD(537, 702) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 37) = 111
GCD(3, 37) = ( 3 x 37 ) / 111
GCD(3, 37) = 111 / 111
GCD(3, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 637
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 637) = 637
GCD(1, 637) = ( 1 x 637 ) / 637
GCD(1, 637) = 637 / 637
GCD(1, 637) = 1
GCD of 537, 702, 37, 637 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 537, 702, 37, 637?
GCD of 537, 702, 37, 637 is 1
2. Where do I get the detailed procedure to find GCD of 537, 702, 37, 637?
You can find a detailed procedure to find GCD of 537, 702, 37, 637 on our page.
3. How to find GCD of 537, 702, 37, 637 on a calculator?
You can find the GCD of 537, 702, 37, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.