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 248, 114, 39 i.e. 1 largest integer that divides all the numbers equally.
GCD of 248, 114, 39 is 1
GCD(248, 114, 39) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 248, 114, 39 is 1
GCD(248, 114, 39) = 1
Given Input numbers are 248, 114, 39
To find the GCD of numbers using factoring list out all the divisors of each number
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 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Greatest Common Divisior
We found the divisors of 248, 114, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 114, 39 is 1.
Therefore, GCD of numbers 248, 114, 39 is 1
Given Input Data is 248, 114, 39
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 39 is 3 x 13
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(248, 114) = 14136
GCD(248, 114) = ( 248 x 114 ) / 14136
GCD(248, 114) = 28272 / 14136
GCD(248, 114) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 39) = 78
GCD(2, 39) = ( 2 x 39 ) / 78
GCD(2, 39) = 78 / 78
GCD(2, 39) = 1
GCD of 248, 114, 39 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 248, 114, 39?
GCD of 248, 114, 39 is 1
2. Where do I get the detailed procedure to find GCD of 248, 114, 39?
You can find a detailed procedure to find GCD of 248, 114, 39 on our page.
3. How to find GCD of 248, 114, 39 on a calculator?
You can find the GCD of 248, 114, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.