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 329, 381, 514, 980 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 381, 514, 980 is 1
GCD(329, 381, 514, 980) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 381, 514, 980 is 1
GCD(329, 381, 514, 980) = 1
Given Input numbers are 329, 381, 514, 980
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Greatest Common Divisior
We found the divisors of 329, 381, 514, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 381, 514, 980 is 1.
Therefore, GCD of numbers 329, 381, 514, 980 is 1
Given Input Data is 329, 381, 514, 980
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 381 is 3 x 127
Prime Factorization of 514 is 2 x 257
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
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(329, 381) = 125349
GCD(329, 381) = ( 329 x 381 ) / 125349
GCD(329, 381) = 125349 / 125349
GCD(329, 381) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 514
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 514) = 514
GCD(1, 514) = ( 1 x 514 ) / 514
GCD(1, 514) = 514 / 514
GCD(1, 514) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
GCD(1, 980) = 980 / 980
GCD(1, 980) = 1
GCD of 329, 381, 514, 980 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 329, 381, 514, 980?
GCD of 329, 381, 514, 980 is 1
2. Where do I get the detailed procedure to find GCD of 329, 381, 514, 980?
You can find a detailed procedure to find GCD of 329, 381, 514, 980 on our page.
3. How to find GCD of 329, 381, 514, 980 on a calculator?
You can find the GCD of 329, 381, 514, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.