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 391, 378, 174, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 391, 378, 174, 613 is 1
GCD(391, 378, 174, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 391, 378, 174, 613 is 1
GCD(391, 378, 174, 613) = 1
Given Input numbers are 391, 378, 174, 613
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 391, 378, 174, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 378, 174, 613 is 1.
Therefore, GCD of numbers 391, 378, 174, 613 is 1
Given Input Data is 391, 378, 174, 613
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 391 is 17 x 23
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 613 is 613
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(391, 378) = 147798
GCD(391, 378) = ( 391 x 378 ) / 147798
GCD(391, 378) = 147798 / 147798
GCD(391, 378) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 174
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 174) = 174
GCD(1, 174) = ( 1 x 174 ) / 174
GCD(1, 174) = 174 / 174
GCD(1, 174) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 613) = 613
GCD(1, 613) = ( 1 x 613 ) / 613
GCD(1, 613) = 613 / 613
GCD(1, 613) = 1
GCD of 391, 378, 174, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 391, 378, 174, 613?
GCD of 391, 378, 174, 613 is 1
2. Where do I get the detailed procedure to find GCD of 391, 378, 174, 613?
You can find a detailed procedure to find GCD of 391, 378, 174, 613 on our page.
3. How to find GCD of 391, 378, 174, 613 on a calculator?
You can find the GCD of 391, 378, 174, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.