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 327, 334, 82, 461 i.e. 1 largest integer that divides all the numbers equally.
GCD of 327, 334, 82, 461 is 1
GCD(327, 334, 82, 461) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 327, 334, 82, 461 is 1
GCD(327, 334, 82, 461) = 1
Given Input numbers are 327, 334, 82, 461
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Greatest Common Divisior
We found the divisors of 327, 334, 82, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 334, 82, 461 is 1.
Therefore, GCD of numbers 327, 334, 82, 461 is 1
Given Input Data is 327, 334, 82, 461
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 327 is 3 x 109
Prime Factorization of 334 is 2 x 167
Prime Factorization of 82 is 2 x 41
Prime Factorization of 461 is 461
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(327, 334) = 109218
GCD(327, 334) = ( 327 x 334 ) / 109218
GCD(327, 334) = 109218 / 109218
GCD(327, 334) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 461
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 461) = 461
GCD(1, 461) = ( 1 x 461 ) / 461
GCD(1, 461) = 461 / 461
GCD(1, 461) = 1
GCD of 327, 334, 82, 461 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 327, 334, 82, 461?
GCD of 327, 334, 82, 461 is 1
2. Where do I get the detailed procedure to find GCD of 327, 334, 82, 461?
You can find a detailed procedure to find GCD of 327, 334, 82, 461 on our page.
3. How to find GCD of 327, 334, 82, 461 on a calculator?
You can find the GCD of 327, 334, 82, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.