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 117, 744, 50, 243 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 744, 50, 243 is 1
GCD(117, 744, 50, 243) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 744, 50, 243 is 1
GCD(117, 744, 50, 243) = 1
Given Input numbers are 117, 744, 50, 243
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Greatest Common Divisior
We found the divisors of 117, 744, 50, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 744, 50, 243 is 1.
Therefore, GCD of numbers 117, 744, 50, 243 is 1
Given Input Data is 117, 744, 50, 243
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
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(117, 744) = 29016
GCD(117, 744) = ( 117 x 744 ) / 29016
GCD(117, 744) = 87048 / 29016
GCD(117, 744) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 50) = 150
GCD(3, 50) = ( 3 x 50 ) / 150
GCD(3, 50) = 150 / 150
GCD(3, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
GCD(1, 243) = 243 / 243
GCD(1, 243) = 1
GCD of 117, 744, 50, 243 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 744, 50, 243?
GCD of 117, 744, 50, 243 is 1
2. Where do I get the detailed procedure to find GCD of 117, 744, 50, 243?
You can find a detailed procedure to find GCD of 117, 744, 50, 243 on our page.
3. How to find GCD of 117, 744, 50, 243 on a calculator?
You can find the GCD of 117, 744, 50, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.