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, 792, 47, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 537, 792, 47, 684 is 1
GCD(537, 792, 47, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 537, 792, 47, 684 is 1
GCD(537, 792, 47, 684) = 1
Given Input numbers are 537, 792, 47, 684
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 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Greatest Common Divisior
We found the divisors of 537, 792, 47, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 792, 47, 684 is 1.
Therefore, GCD of numbers 537, 792, 47, 684 is 1
Given Input Data is 537, 792, 47, 684
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 537 is 3 x 179
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 47 is 47
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
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, 792) = 141768
GCD(537, 792) = ( 537 x 792 ) / 141768
GCD(537, 792) = 425304 / 141768
GCD(537, 792) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 47) = 141
GCD(3, 47) = ( 3 x 47 ) / 141
GCD(3, 47) = 141 / 141
GCD(3, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
GCD of 537, 792, 47, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 537, 792, 47, 684?
GCD of 537, 792, 47, 684 is 1
2. Where do I get the detailed procedure to find GCD of 537, 792, 47, 684?
You can find a detailed procedure to find GCD of 537, 792, 47, 684 on our page.
3. How to find GCD of 537, 792, 47, 684 on a calculator?
You can find the GCD of 537, 792, 47, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.