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 664, 129, 376, 305 i.e. 1 largest integer that divides all the numbers equally.
GCD of 664, 129, 376, 305 is 1
GCD(664, 129, 376, 305) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 664, 129, 376, 305 is 1
GCD(664, 129, 376, 305) = 1
Given Input numbers are 664, 129, 376, 305
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Greatest Common Divisior
We found the divisors of 664, 129, 376, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 129, 376, 305 is 1.
Therefore, GCD of numbers 664, 129, 376, 305 is 1
Given Input Data is 664, 129, 376, 305
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 129 is 3 x 43
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 305 is 5 x 61
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(664, 129) = 85656
GCD(664, 129) = ( 664 x 129 ) / 85656
GCD(664, 129) = 85656 / 85656
GCD(664, 129) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 305) = 305
GCD(1, 305) = ( 1 x 305 ) / 305
GCD(1, 305) = 305 / 305
GCD(1, 305) = 1
GCD of 664, 129, 376, 305 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 664, 129, 376, 305?
GCD of 664, 129, 376, 305 is 1
2. Where do I get the detailed procedure to find GCD of 664, 129, 376, 305?
You can find a detailed procedure to find GCD of 664, 129, 376, 305 on our page.
3. How to find GCD of 664, 129, 376, 305 on a calculator?
You can find the GCD of 664, 129, 376, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.