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, 749, 47, 235 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 749, 47, 235 is 1
GCD(243, 749, 47, 235) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 749, 47, 235 is 1
GCD(243, 749, 47, 235) = 1
Given Input numbers are 243, 749, 47, 235
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 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Greatest Common Divisior
We found the divisors of 243, 749, 47, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 749, 47, 235 is 1.
Therefore, GCD of numbers 243, 749, 47, 235 is 1
Given Input Data is 243, 749, 47, 235
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 749 is 7 x 107
Prime Factorization of 47 is 47
Prime Factorization of 235 is 5 x 47
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, 749) = 182007
GCD(243, 749) = ( 243 x 749 ) / 182007
GCD(243, 749) = 182007 / 182007
GCD(243, 749) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 235
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 235) = 235
GCD(1, 235) = ( 1 x 235 ) / 235
GCD(1, 235) = 235 / 235
GCD(1, 235) = 1
GCD of 243, 749, 47, 235 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 749, 47, 235?
GCD of 243, 749, 47, 235 is 1
2. Where do I get the detailed procedure to find GCD of 243, 749, 47, 235?
You can find a detailed procedure to find GCD of 243, 749, 47, 235 on our page.
3. How to find GCD of 243, 749, 47, 235 on a calculator?
You can find the GCD of 243, 749, 47, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.