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 261, 243, 843, 541 i.e. 1 largest integer that divides all the numbers equally.
GCD of 261, 243, 843, 541 is 1
GCD(261, 243, 843, 541) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 261, 243, 843, 541 is 1
GCD(261, 243, 843, 541) = 1
Given Input numbers are 261, 243, 843, 541
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 541
List of positive integer divisors of 541 that divides 541 without a remainder.
1, 541
Greatest Common Divisior
We found the divisors of 261, 243, 843, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 243, 843, 541 is 1.
Therefore, GCD of numbers 261, 243, 843, 541 is 1
Given Input Data is 261, 243, 843, 541
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 843 is 3 x 281
Prime Factorization of 541 is 541
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(261, 243) = 7047
GCD(261, 243) = ( 261 x 243 ) / 7047
GCD(261, 243) = 63423 / 7047
GCD(261, 243) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 843) = 2529
GCD(9, 843) = ( 9 x 843 ) / 2529
GCD(9, 843) = 7587 / 2529
GCD(9, 843) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 541
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 541) = 1623
GCD(3, 541) = ( 3 x 541 ) / 1623
GCD(3, 541) = 1623 / 1623
GCD(3, 541) = 1
GCD of 261, 243, 843, 541 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 261, 243, 843, 541?
GCD of 261, 243, 843, 541 is 1
2. Where do I get the detailed procedure to find GCD of 261, 243, 843, 541?
You can find a detailed procedure to find GCD of 261, 243, 843, 541 on our page.
3. How to find GCD of 261, 243, 843, 541 on a calculator?
You can find the GCD of 261, 243, 843, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.