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, 189, 42, 717 i.e. 3 largest integer that divides all the numbers equally.
GCD of 537, 189, 42, 717 is 3
GCD(537, 189, 42, 717) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 537, 189, 42, 717 is 3
GCD(537, 189, 42, 717) = 3
Given Input numbers are 537, 189, 42, 717
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 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Greatest Common Divisior
We found the divisors of 537, 189, 42, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 189, 42, 717 is 3.
Therefore, GCD of numbers 537, 189, 42, 717 is 3
Given Input Data is 537, 189, 42, 717
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 537 is 3 x 179
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 717 is 3 x 239
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 189) = 33831
GCD(537, 189) = ( 537 x 189 ) / 33831
GCD(537, 189) = 101493 / 33831
GCD(537, 189) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 42) = 42
GCD(3, 42) = ( 3 x 42 ) / 42
GCD(3, 42) = 126 / 42
GCD(3, 42) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 717) = 717
GCD(3, 717) = ( 3 x 717 ) / 717
GCD(3, 717) = 2151 / 717
GCD(3, 717) = 3
GCD of 537, 189, 42, 717 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 537, 189, 42, 717?
GCD of 537, 189, 42, 717 is 3
2. Where do I get the detailed procedure to find GCD of 537, 189, 42, 717?
You can find a detailed procedure to find GCD of 537, 189, 42, 717 on our page.
3. How to find GCD of 537, 189, 42, 717 on a calculator?
You can find the GCD of 537, 189, 42, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.