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 990, 397, 495, 543 i.e. 1 largest integer that divides all the numbers equally.
GCD of 990, 397, 495, 543 is 1
GCD(990, 397, 495, 543) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 990, 397, 495, 543 is 1
GCD(990, 397, 495, 543) = 1
Given Input numbers are 990, 397, 495, 543
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Greatest Common Divisior
We found the divisors of 990, 397, 495, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 397, 495, 543 is 1.
Therefore, GCD of numbers 990, 397, 495, 543 is 1
Given Input Data is 990, 397, 495, 543
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 397 is 397
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 543 is 3 x 181
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(990, 397) = 393030
GCD(990, 397) = ( 990 x 397 ) / 393030
GCD(990, 397) = 393030 / 393030
GCD(990, 397) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 543
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 543) = 543
GCD(1, 543) = ( 1 x 543 ) / 543
GCD(1, 543) = 543 / 543
GCD(1, 543) = 1
GCD of 990, 397, 495, 543 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 990, 397, 495, 543?
GCD of 990, 397, 495, 543 is 1
2. Where do I get the detailed procedure to find GCD of 990, 397, 495, 543?
You can find a detailed procedure to find GCD of 990, 397, 495, 543 on our page.
3. How to find GCD of 990, 397, 495, 543 on a calculator?
You can find the GCD of 990, 397, 495, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.