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 434, 385, 513, 331 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 385, 513, 331 is 1
GCD(434, 385, 513, 331) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 385, 513, 331 is 1
GCD(434, 385, 513, 331) = 1
Given Input numbers are 434, 385, 513, 331
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Greatest Common Divisior
We found the divisors of 434, 385, 513, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 385, 513, 331 is 1.
Therefore, GCD of numbers 434, 385, 513, 331 is 1
Given Input Data is 434, 385, 513, 331
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 331 is 331
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(434, 385) = 23870
GCD(434, 385) = ( 434 x 385 ) / 23870
GCD(434, 385) = 167090 / 23870
GCD(434, 385) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 513) = 3591
GCD(7, 513) = ( 7 x 513 ) / 3591
GCD(7, 513) = 3591 / 3591
GCD(7, 513) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
GCD of 434, 385, 513, 331 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 385, 513, 331?
GCD of 434, 385, 513, 331 is 1
2. Where do I get the detailed procedure to find GCD of 434, 385, 513, 331?
You can find a detailed procedure to find GCD of 434, 385, 513, 331 on our page.
3. How to find GCD of 434, 385, 513, 331 on a calculator?
You can find the GCD of 434, 385, 513, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.