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 354, 375, 328 i.e. 1 largest integer that divides all the numbers equally.
GCD of 354, 375, 328 is 1
GCD(354, 375, 328) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 354, 375, 328 is 1
GCD(354, 375, 328) = 1
Given Input numbers are 354, 375, 328
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Greatest Common Divisior
We found the divisors of 354, 375, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 375, 328 is 1.
Therefore, GCD of numbers 354, 375, 328 is 1
Given Input Data is 354, 375, 328
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 328 is 2 x 2 x 2 x 41
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(354, 375) = 44250
GCD(354, 375) = ( 354 x 375 ) / 44250
GCD(354, 375) = 132750 / 44250
GCD(354, 375) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 328) = 984
GCD(3, 328) = ( 3 x 328 ) / 984
GCD(3, 328) = 984 / 984
GCD(3, 328) = 1
GCD of 354, 375, 328 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 354, 375, 328?
GCD of 354, 375, 328 is 1
2. Where do I get the detailed procedure to find GCD of 354, 375, 328?
You can find a detailed procedure to find GCD of 354, 375, 328 on our page.
3. How to find GCD of 354, 375, 328 on a calculator?
You can find the GCD of 354, 375, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.