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, 327, 36, 221 i.e. 1 largest integer that divides all the numbers equally.
GCD of 543, 327, 36, 221 is 1
GCD(543, 327, 36, 221) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 543, 327, 36, 221 is 1
GCD(543, 327, 36, 221) = 1
Given Input numbers are 543, 327, 36, 221
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 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Greatest Common Divisior
We found the divisors of 543, 327, 36, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 327, 36, 221 is 1.
Therefore, GCD of numbers 543, 327, 36, 221 is 1
Given Input Data is 543, 327, 36, 221
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 543 is 3 x 181
Prime Factorization of 327 is 3 x 109
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 221 is 13 x 17
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, 327) = 59187
GCD(543, 327) = ( 543 x 327 ) / 59187
GCD(543, 327) = 177561 / 59187
GCD(543, 327) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 36) = 36
GCD(3, 36) = ( 3 x 36 ) / 36
GCD(3, 36) = 108 / 36
GCD(3, 36) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 221) = 663
GCD(3, 221) = ( 3 x 221 ) / 663
GCD(3, 221) = 663 / 663
GCD(3, 221) = 1
GCD of 543, 327, 36, 221 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 543, 327, 36, 221?
GCD of 543, 327, 36, 221 is 1
2. Where do I get the detailed procedure to find GCD of 543, 327, 36, 221?
You can find a detailed procedure to find GCD of 543, 327, 36, 221 on our page.
3. How to find GCD of 543, 327, 36, 221 on a calculator?
You can find the GCD of 543, 327, 36, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.