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 718, 628, 83, 329 i.e. 1 largest integer that divides all the numbers equally.
GCD of 718, 628, 83, 329 is 1
GCD(718, 628, 83, 329) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 718, 628, 83, 329 is 1
GCD(718, 628, 83, 329) = 1
Given Input numbers are 718, 628, 83, 329
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Greatest Common Divisior
We found the divisors of 718, 628, 83, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 628, 83, 329 is 1.
Therefore, GCD of numbers 718, 628, 83, 329 is 1
Given Input Data is 718, 628, 83, 329
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 718 is 2 x 359
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 83 is 83
Prime Factorization of 329 is 7 x 47
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(718, 628) = 225452
GCD(718, 628) = ( 718 x 628 ) / 225452
GCD(718, 628) = 450904 / 225452
GCD(718, 628) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 83) = 166
GCD(2, 83) = ( 2 x 83 ) / 166
GCD(2, 83) = 166 / 166
GCD(2, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
GCD of 718, 628, 83, 329 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 718, 628, 83, 329?
GCD of 718, 628, 83, 329 is 1
2. Where do I get the detailed procedure to find GCD of 718, 628, 83, 329?
You can find a detailed procedure to find GCD of 718, 628, 83, 329 on our page.
3. How to find GCD of 718, 628, 83, 329 on a calculator?
You can find the GCD of 718, 628, 83, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.