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 298, 614, 790, 627 i.e. 1 largest integer that divides all the numbers equally.
GCD of 298, 614, 790, 627 is 1
GCD(298, 614, 790, 627) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 298, 614, 790, 627 is 1
GCD(298, 614, 790, 627) = 1
Given Input numbers are 298, 614, 790, 627
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
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 298, 614, 790, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 614, 790, 627 is 1.
Therefore, GCD of numbers 298, 614, 790, 627 is 1
Given Input Data is 298, 614, 790, 627
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 298 is 2 x 149
Prime Factorization of 614 is 2 x 307
Prime Factorization of 790 is 2 x 5 x 79
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(298, 614) = 91486
GCD(298, 614) = ( 298 x 614 ) / 91486
GCD(298, 614) = 182972 / 91486
GCD(298, 614) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 790
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 790) = 790
GCD(2, 790) = ( 2 x 790 ) / 790
GCD(2, 790) = 1580 / 790
GCD(2, 790) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 627
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 627) = 1254
GCD(2, 627) = ( 2 x 627 ) / 1254
GCD(2, 627) = 1254 / 1254
GCD(2, 627) = 1
GCD of 298, 614, 790, 627 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 298, 614, 790, 627?
GCD of 298, 614, 790, 627 is 1
2. Where do I get the detailed procedure to find GCD of 298, 614, 790, 627?
You can find a detailed procedure to find GCD of 298, 614, 790, 627 on our page.
3. How to find GCD of 298, 614, 790, 627 on a calculator?
You can find the GCD of 298, 614, 790, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.