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 119, 179, 714 i.e. 1 largest integer that divides all the numbers equally.
GCD of 119, 179, 714 is 1
GCD(119, 179, 714) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 119, 179, 714 is 1
GCD(119, 179, 714) = 1
Given Input numbers are 119, 179, 714
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Greatest Common Divisior
We found the divisors of 119, 179, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 179, 714 is 1.
Therefore, GCD of numbers 119, 179, 714 is 1
Given Input Data is 119, 179, 714
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 119 is 7 x 17
Prime Factorization of 179 is 179
Prime Factorization of 714 is 2 x 3 x 7 x 17
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(119, 179) = 21301
GCD(119, 179) = ( 119 x 179 ) / 21301
GCD(119, 179) = 21301 / 21301
GCD(119, 179) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 714
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
GCD(1, 714) = 714 / 714
GCD(1, 714) = 1
GCD of 119, 179, 714 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 119, 179, 714?
GCD of 119, 179, 714 is 1
2. Where do I get the detailed procedure to find GCD of 119, 179, 714?
You can find a detailed procedure to find GCD of 119, 179, 714 on our page.
3. How to find GCD of 119, 179, 714 on a calculator?
You can find the GCD of 119, 179, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.