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 232, 431, 10, 322 i.e. 1 largest integer that divides all the numbers equally.
GCD of 232, 431, 10, 322 is 1
GCD(232, 431, 10, 322) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 232, 431, 10, 322 is 1
GCD(232, 431, 10, 322) = 1
Given Input numbers are 232, 431, 10, 322
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Greatest Common Divisior
We found the divisors of 232, 431, 10, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 431, 10, 322 is 1.
Therefore, GCD of numbers 232, 431, 10, 322 is 1
Given Input Data is 232, 431, 10, 322
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 431 is 431
Prime Factorization of 10 is 2 x 5
Prime Factorization of 322 is 2 x 7 x 23
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(232, 431) = 99992
GCD(232, 431) = ( 232 x 431 ) / 99992
GCD(232, 431) = 99992 / 99992
GCD(232, 431) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
GCD(1, 322) = 322 / 322
GCD(1, 322) = 1
GCD of 232, 431, 10, 322 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 232, 431, 10, 322?
GCD of 232, 431, 10, 322 is 1
2. Where do I get the detailed procedure to find GCD of 232, 431, 10, 322?
You can find a detailed procedure to find GCD of 232, 431, 10, 322 on our page.
3. How to find GCD of 232, 431, 10, 322 on a calculator?
You can find the GCD of 232, 431, 10, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.