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 378, 259, 617, 627 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 259, 617, 627 is 1
GCD(378, 259, 617, 627) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 259, 617, 627 is 1
GCD(378, 259, 617, 627) = 1
Given Input numbers are 378, 259, 617, 627
To find the GCD of numbers using factoring list out all the divisors of each number
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 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
Greatest Common Divisior
We found the divisors of 378, 259, 617, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 259, 617, 627 is 1.
Therefore, GCD of numbers 378, 259, 617, 627 is 1
Given Input Data is 378, 259, 617, 627
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 259 is 7 x 37
Prime Factorization of 617 is 617
Prime Factorization of 627 is 3 x 11 x 19
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(378, 259) = 13986
GCD(378, 259) = ( 378 x 259 ) / 13986
GCD(378, 259) = 97902 / 13986
GCD(378, 259) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 617) = 4319
GCD(7, 617) = ( 7 x 617 ) / 4319
GCD(7, 617) = 4319 / 4319
GCD(7, 617) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 627
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 627) = 627
GCD(1, 627) = ( 1 x 627 ) / 627
GCD(1, 627) = 627 / 627
GCD(1, 627) = 1
GCD of 378, 259, 617, 627 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 259, 617, 627?
GCD of 378, 259, 617, 627 is 1
2. Where do I get the detailed procedure to find GCD of 378, 259, 617, 627?
You can find a detailed procedure to find GCD of 378, 259, 617, 627 on our page.
3. How to find GCD of 378, 259, 617, 627 on a calculator?
You can find the GCD of 378, 259, 617, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.