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, 697, 39, 228 i.e. 1 largest integer that divides all the numbers equally.
GCD of 431, 697, 39, 228 is 1
GCD(431, 697, 39, 228) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 431, 697, 39, 228 is 1
GCD(431, 697, 39, 228) = 1
Given Input numbers are 431, 697, 39, 228
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 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Greatest Common Divisior
We found the divisors of 431, 697, 39, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 697, 39, 228 is 1.
Therefore, GCD of numbers 431, 697, 39, 228 is 1
Given Input Data is 431, 697, 39, 228
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 431 is 431
Prime Factorization of 697 is 17 x 41
Prime Factorization of 39 is 3 x 13
Prime Factorization of 228 is 2 x 2 x 3 x 19
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, 697) = 300407
GCD(431, 697) = ( 431 x 697 ) / 300407
GCD(431, 697) = 300407 / 300407
GCD(431, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 228
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 228) = 228
GCD(1, 228) = ( 1 x 228 ) / 228
GCD(1, 228) = 228 / 228
GCD(1, 228) = 1
GCD of 431, 697, 39, 228 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 431, 697, 39, 228?
GCD of 431, 697, 39, 228 is 1
2. Where do I get the detailed procedure to find GCD of 431, 697, 39, 228?
You can find a detailed procedure to find GCD of 431, 697, 39, 228 on our page.
3. How to find GCD of 431, 697, 39, 228 on a calculator?
You can find the GCD of 431, 697, 39, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.