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 463, 429, 589, 251 i.e. 1 largest integer that divides all the numbers equally.
GCD of 463, 429, 589, 251 is 1
GCD(463, 429, 589, 251) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 463, 429, 589, 251 is 1
GCD(463, 429, 589, 251) = 1
Given Input numbers are 463, 429, 589, 251
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Greatest Common Divisior
We found the divisors of 463, 429, 589, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 429, 589, 251 is 1.
Therefore, GCD of numbers 463, 429, 589, 251 is 1
Given Input Data is 463, 429, 589, 251
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 463 is 463
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 589 is 19 x 31
Prime Factorization of 251 is 251
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(463, 429) = 198627
GCD(463, 429) = ( 463 x 429 ) / 198627
GCD(463, 429) = 198627 / 198627
GCD(463, 429) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
GCD(1, 589) = 589 / 589
GCD(1, 589) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 251) = 251
GCD(1, 251) = ( 1 x 251 ) / 251
GCD(1, 251) = 251 / 251
GCD(1, 251) = 1
GCD of 463, 429, 589, 251 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 463, 429, 589, 251?
GCD of 463, 429, 589, 251 is 1
2. Where do I get the detailed procedure to find GCD of 463, 429, 589, 251?
You can find a detailed procedure to find GCD of 463, 429, 589, 251 on our page.
3. How to find GCD of 463, 429, 589, 251 on a calculator?
You can find the GCD of 463, 429, 589, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.