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, 149, 144, 879 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 149, 144, 879 is 1
GCD(243, 149, 144, 879) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 149, 144, 879 is 1
GCD(243, 149, 144, 879) = 1
Given Input numbers are 243, 149, 144, 879
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 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Greatest Common Divisior
We found the divisors of 243, 149, 144, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 149, 144, 879 is 1.
Therefore, GCD of numbers 243, 149, 144, 879 is 1
Given Input Data is 243, 149, 144, 879
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 149 is 149
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 879 is 3 x 293
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, 149) = 36207
GCD(243, 149) = ( 243 x 149 ) / 36207
GCD(243, 149) = 36207 / 36207
GCD(243, 149) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 879
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 879) = 879
GCD(1, 879) = ( 1 x 879 ) / 879
GCD(1, 879) = 879 / 879
GCD(1, 879) = 1
GCD of 243, 149, 144, 879 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 149, 144, 879?
GCD of 243, 149, 144, 879 is 1
2. Where do I get the detailed procedure to find GCD of 243, 149, 144, 879?
You can find a detailed procedure to find GCD of 243, 149, 144, 879 on our page.
3. How to find GCD of 243, 149, 144, 879 on a calculator?
You can find the GCD of 243, 149, 144, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.