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, 831, 248, 187 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 831, 248, 187 is 1
GCD(243, 831, 248, 187) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 831, 248, 187 is 1
GCD(243, 831, 248, 187) = 1
Given Input numbers are 243, 831, 248, 187
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 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Greatest Common Divisior
We found the divisors of 243, 831, 248, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 831, 248, 187 is 1.
Therefore, GCD of numbers 243, 831, 248, 187 is 1
Given Input Data is 243, 831, 248, 187
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 831 is 3 x 277
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 187 is 11 x 17
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, 831) = 67311
GCD(243, 831) = ( 243 x 831 ) / 67311
GCD(243, 831) = 201933 / 67311
GCD(243, 831) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 248
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 248) = 744
GCD(3, 248) = ( 3 x 248 ) / 744
GCD(3, 248) = 744 / 744
GCD(3, 248) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 187) = 187
GCD(1, 187) = ( 1 x 187 ) / 187
GCD(1, 187) = 187 / 187
GCD(1, 187) = 1
GCD of 243, 831, 248, 187 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 831, 248, 187?
GCD of 243, 831, 248, 187 is 1
2. Where do I get the detailed procedure to find GCD of 243, 831, 248, 187?
You can find a detailed procedure to find GCD of 243, 831, 248, 187 on our page.
3. How to find GCD of 243, 831, 248, 187 on a calculator?
You can find the GCD of 243, 831, 248, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.