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, 952, 63, 364 i.e. 1 largest integer that divides all the numbers equally.
GCD of 540, 952, 63, 364 is 1
GCD(540, 952, 63, 364) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 540, 952, 63, 364 is 1
GCD(540, 952, 63, 364) = 1
Given Input numbers are 540, 952, 63, 364
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 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Greatest Common Divisior
We found the divisors of 540, 952, 63, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 952, 63, 364 is 1.
Therefore, GCD of numbers 540, 952, 63, 364 is 1
Given Input Data is 540, 952, 63, 364
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 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 364 is 2 x 2 x 7 x 13
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, 952) = 128520
GCD(540, 952) = ( 540 x 952 ) / 128520
GCD(540, 952) = 514080 / 128520
GCD(540, 952) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 63) = 252
GCD(4, 63) = ( 4 x 63 ) / 252
GCD(4, 63) = 252 / 252
GCD(4, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
GCD(1, 364) = 364 / 364
GCD(1, 364) = 1
GCD of 540, 952, 63, 364 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 540, 952, 63, 364?
GCD of 540, 952, 63, 364 is 1
2. Where do I get the detailed procedure to find GCD of 540, 952, 63, 364?
You can find a detailed procedure to find GCD of 540, 952, 63, 364 on our page.
3. How to find GCD of 540, 952, 63, 364 on a calculator?
You can find the GCD of 540, 952, 63, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.