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 113, 976, 68, 331 i.e. 1 largest integer that divides all the numbers equally.
GCD of 113, 976, 68, 331 is 1
GCD(113, 976, 68, 331) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 113, 976, 68, 331 is 1
GCD(113, 976, 68, 331) = 1
Given Input numbers are 113, 976, 68, 331
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Greatest Common Divisior
We found the divisors of 113, 976, 68, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 976, 68, 331 is 1.
Therefore, GCD of numbers 113, 976, 68, 331 is 1
Given Input Data is 113, 976, 68, 331
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 113 is 113
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 331 is 331
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(113, 976) = 110288
GCD(113, 976) = ( 113 x 976 ) / 110288
GCD(113, 976) = 110288 / 110288
GCD(113, 976) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
GCD of 113, 976, 68, 331 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 113, 976, 68, 331?
GCD of 113, 976, 68, 331 is 1
2. Where do I get the detailed procedure to find GCD of 113, 976, 68, 331?
You can find a detailed procedure to find GCD of 113, 976, 68, 331 on our page.
3. How to find GCD of 113, 976, 68, 331 on a calculator?
You can find the GCD of 113, 976, 68, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.