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, 735, 419, 172 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 735, 419, 172 is 1
GCD(329, 735, 419, 172) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 735, 419, 172 is 1
GCD(329, 735, 419, 172) = 1
Given Input numbers are 329, 735, 419, 172
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 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 419
List of positive integer divisors of 419 that divides 419 without a remainder.
1, 419
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 329, 735, 419, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 735, 419, 172 is 1.
Therefore, GCD of numbers 329, 735, 419, 172 is 1
Given Input Data is 329, 735, 419, 172
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 419 is 419
Prime Factorization of 172 is 2 x 2 x 43
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, 735) = 34545
GCD(329, 735) = ( 329 x 735 ) / 34545
GCD(329, 735) = 241815 / 34545
GCD(329, 735) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 419
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 419) = 2933
GCD(7, 419) = ( 7 x 419 ) / 2933
GCD(7, 419) = 2933 / 2933
GCD(7, 419) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
GCD(1, 172) = 172 / 172
GCD(1, 172) = 1
GCD of 329, 735, 419, 172 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 329, 735, 419, 172?
GCD of 329, 735, 419, 172 is 1
2. Where do I get the detailed procedure to find GCD of 329, 735, 419, 172?
You can find a detailed procedure to find GCD of 329, 735, 419, 172 on our page.
3. How to find GCD of 329, 735, 419, 172 on a calculator?
You can find the GCD of 329, 735, 419, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.