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 543, 132, 37, 990 i.e. 1 largest integer that divides all the numbers equally.
GCD of 543, 132, 37, 990 is 1
GCD(543, 132, 37, 990) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 543, 132, 37, 990 is 1
GCD(543, 132, 37, 990) = 1
Given Input numbers are 543, 132, 37, 990
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Greatest Common Divisior
We found the divisors of 543, 132, 37, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 132, 37, 990 is 1.
Therefore, GCD of numbers 543, 132, 37, 990 is 1
Given Input Data is 543, 132, 37, 990
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 543 is 3 x 181
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 37 is 37
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
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(543, 132) = 23892
GCD(543, 132) = ( 543 x 132 ) / 23892
GCD(543, 132) = 71676 / 23892
GCD(543, 132) = 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 990
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
GCD(1, 990) = 990 / 990
GCD(1, 990) = 1
GCD of 543, 132, 37, 990 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 543, 132, 37, 990?
GCD of 543, 132, 37, 990 is 1
2. Where do I get the detailed procedure to find GCD of 543, 132, 37, 990?
You can find a detailed procedure to find GCD of 543, 132, 37, 990 on our page.
3. How to find GCD of 543, 132, 37, 990 on a calculator?
You can find the GCD of 543, 132, 37, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.