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, 135, 14, 143 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 135, 14, 143 is 1
GCD(329, 135, 14, 143) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 135, 14, 143 is 1
GCD(329, 135, 14, 143) = 1
Given Input numbers are 329, 135, 14, 143
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 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Greatest Common Divisior
We found the divisors of 329, 135, 14, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 135, 14, 143 is 1.
Therefore, GCD of numbers 329, 135, 14, 143 is 1
Given Input Data is 329, 135, 14, 143
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 14 is 2 x 7
Prime Factorization of 143 is 11 x 13
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, 135) = 44415
GCD(329, 135) = ( 329 x 135 ) / 44415
GCD(329, 135) = 44415 / 44415
GCD(329, 135) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
GCD(1, 143) = 143 / 143
GCD(1, 143) = 1
GCD of 329, 135, 14, 143 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 329, 135, 14, 143?
GCD of 329, 135, 14, 143 is 1
2. Where do I get the detailed procedure to find GCD of 329, 135, 14, 143?
You can find a detailed procedure to find GCD of 329, 135, 14, 143 on our page.
3. How to find GCD of 329, 135, 14, 143 on a calculator?
You can find the GCD of 329, 135, 14, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.