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 540, 252, 67, 990 i.e. 1 largest integer that divides all the numbers equally.
GCD of 540, 252, 67, 990 is 1
GCD(540, 252, 67, 990) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 540, 252, 67, 990 is 1
GCD(540, 252, 67, 990) = 1
Given Input numbers are 540, 252, 67, 990
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
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 540, 252, 67, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 252, 67, 990 is 1.
Therefore, GCD of numbers 540, 252, 67, 990 is 1
Given Input Data is 540, 252, 67, 990
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 67 is 67
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(540, 252) = 3780
GCD(540, 252) = ( 540 x 252 ) / 3780
GCD(540, 252) = 136080 / 3780
GCD(540, 252) = 36
Step2:
Here we consider the GCD from the above i.e. 36 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(36, 67) = 2412
GCD(36, 67) = ( 36 x 67 ) / 2412
GCD(36, 67) = 2412 / 2412
GCD(36, 67) = 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 540, 252, 67, 990 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 540, 252, 67, 990?
GCD of 540, 252, 67, 990 is 1
2. Where do I get the detailed procedure to find GCD of 540, 252, 67, 990?
You can find a detailed procedure to find GCD of 540, 252, 67, 990 on our page.
3. How to find GCD of 540, 252, 67, 990 on a calculator?
You can find the GCD of 540, 252, 67, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.