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 374, 113, 48, 679 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 113, 48, 679 is 1
GCD(374, 113, 48, 679) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 113, 48, 679 is 1
GCD(374, 113, 48, 679) = 1
Given Input numbers are 374, 113, 48, 679
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Greatest Common Divisior
We found the divisors of 374, 113, 48, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 113, 48, 679 is 1.
Therefore, GCD of numbers 374, 113, 48, 679 is 1
Given Input Data is 374, 113, 48, 679
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 113 is 113
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 679 is 7 x 97
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(374, 113) = 42262
GCD(374, 113) = ( 374 x 113 ) / 42262
GCD(374, 113) = 42262 / 42262
GCD(374, 113) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 679
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 679) = 679
GCD(1, 679) = ( 1 x 679 ) / 679
GCD(1, 679) = 679 / 679
GCD(1, 679) = 1
GCD of 374, 113, 48, 679 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 113, 48, 679?
GCD of 374, 113, 48, 679 is 1
2. Where do I get the detailed procedure to find GCD of 374, 113, 48, 679?
You can find a detailed procedure to find GCD of 374, 113, 48, 679 on our page.
3. How to find GCD of 374, 113, 48, 679 on a calculator?
You can find the GCD of 374, 113, 48, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.