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 431, 794, 52, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 431, 794, 52, 434 is 1
GCD(431, 794, 52, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 431, 794, 52, 434 is 1
GCD(431, 794, 52, 434) = 1
Given Input numbers are 431, 794, 52, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 431, 794, 52, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 794, 52, 434 is 1.
Therefore, GCD of numbers 431, 794, 52, 434 is 1
Given Input Data is 431, 794, 52, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 431 is 431
Prime Factorization of 794 is 2 x 397
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 434 is 2 x 7 x 31
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(431, 794) = 342214
GCD(431, 794) = ( 431 x 794 ) / 342214
GCD(431, 794) = 342214 / 342214
GCD(431, 794) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 431, 794, 52, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 431, 794, 52, 434?
GCD of 431, 794, 52, 434 is 1
2. Where do I get the detailed procedure to find GCD of 431, 794, 52, 434?
You can find a detailed procedure to find GCD of 431, 794, 52, 434 on our page.
3. How to find GCD of 431, 794, 52, 434 on a calculator?
You can find the GCD of 431, 794, 52, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.