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 461, 129, 382, 365 i.e. 1 largest integer that divides all the numbers equally.
GCD of 461, 129, 382, 365 is 1
GCD(461, 129, 382, 365) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 461, 129, 382, 365 is 1
GCD(461, 129, 382, 365) = 1
Given Input numbers are 461, 129, 382, 365
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Greatest Common Divisior
We found the divisors of 461, 129, 382, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 129, 382, 365 is 1.
Therefore, GCD of numbers 461, 129, 382, 365 is 1
Given Input Data is 461, 129, 382, 365
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 461 is 461
Prime Factorization of 129 is 3 x 43
Prime Factorization of 382 is 2 x 191
Prime Factorization of 365 is 5 x 73
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(461, 129) = 59469
GCD(461, 129) = ( 461 x 129 ) / 59469
GCD(461, 129) = 59469 / 59469
GCD(461, 129) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
GCD(1, 382) = 382 / 382
GCD(1, 382) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 365
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 365) = 365
GCD(1, 365) = ( 1 x 365 ) / 365
GCD(1, 365) = 365 / 365
GCD(1, 365) = 1
GCD of 461, 129, 382, 365 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 461, 129, 382, 365?
GCD of 461, 129, 382, 365 is 1
2. Where do I get the detailed procedure to find GCD of 461, 129, 382, 365?
You can find a detailed procedure to find GCD of 461, 129, 382, 365 on our page.
3. How to find GCD of 461, 129, 382, 365 on a calculator?
You can find the GCD of 461, 129, 382, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.