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 243, 648, 136, 181 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 648, 136, 181 is 1
GCD(243, 648, 136, 181) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 648, 136, 181 is 1
GCD(243, 648, 136, 181) = 1
Given Input numbers are 243, 648, 136, 181
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Greatest Common Divisior
We found the divisors of 243, 648, 136, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 648, 136, 181 is 1.
Therefore, GCD of numbers 243, 648, 136, 181 is 1
Given Input Data is 243, 648, 136, 181
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 181 is 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(243, 648) = 1944
GCD(243, 648) = ( 243 x 648 ) / 1944
GCD(243, 648) = 157464 / 1944
GCD(243, 648) = 81
Step2:
Here we consider the GCD from the above i.e. 81 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(81, 136) = 11016
GCD(81, 136) = ( 81 x 136 ) / 11016
GCD(81, 136) = 11016 / 11016
GCD(81, 136) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 181
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 181) = 181
GCD(1, 181) = ( 1 x 181 ) / 181
GCD(1, 181) = 181 / 181
GCD(1, 181) = 1
GCD of 243, 648, 136, 181 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 648, 136, 181?
GCD of 243, 648, 136, 181 is 1
2. Where do I get the detailed procedure to find GCD of 243, 648, 136, 181?
You can find a detailed procedure to find GCD of 243, 648, 136, 181 on our page.
3. How to find GCD of 243, 648, 136, 181 on a calculator?
You can find the GCD of 243, 648, 136, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.