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 301, 428, 131, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 301, 428, 131, 704 is 1
GCD(301, 428, 131, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 301, 428, 131, 704 is 1
GCD(301, 428, 131, 704) = 1
Given Input numbers are 301, 428, 131, 704
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Greatest Common Divisior
We found the divisors of 301, 428, 131, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 428, 131, 704 is 1.
Therefore, GCD of numbers 301, 428, 131, 704 is 1
Given Input Data is 301, 428, 131, 704
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 301 is 7 x 43
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 131 is 131
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
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(301, 428) = 128828
GCD(301, 428) = ( 301 x 428 ) / 128828
GCD(301, 428) = 128828 / 128828
GCD(301, 428) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
GCD(1, 131) = 131 / 131
GCD(1, 131) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
GCD of 301, 428, 131, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 301, 428, 131, 704?
GCD of 301, 428, 131, 704 is 1
2. Where do I get the detailed procedure to find GCD of 301, 428, 131, 704?
You can find a detailed procedure to find GCD of 301, 428, 131, 704 on our page.
3. How to find GCD of 301, 428, 131, 704 on a calculator?
You can find the GCD of 301, 428, 131, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.