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 14, 248, 887, 433 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 248, 887, 433 is 1
GCD(14, 248, 887, 433) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 248, 887, 433 is 1
GCD(14, 248, 887, 433) = 1
Given Input numbers are 14, 248, 887, 433
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 887
List of positive integer divisors of 887 that divides 887 without a remainder.
1, 887
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Greatest Common Divisior
We found the divisors of 14, 248, 887, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 248, 887, 433 is 1.
Therefore, GCD of numbers 14, 248, 887, 433 is 1
Given Input Data is 14, 248, 887, 433
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 887 is 887
Prime Factorization of 433 is 433
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(14, 248) = 1736
GCD(14, 248) = ( 14 x 248 ) / 1736
GCD(14, 248) = 3472 / 1736
GCD(14, 248) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 887
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 887) = 1774
GCD(2, 887) = ( 2 x 887 ) / 1774
GCD(2, 887) = 1774 / 1774
GCD(2, 887) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 433
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 433) = 433
GCD(1, 433) = ( 1 x 433 ) / 433
GCD(1, 433) = 433 / 433
GCD(1, 433) = 1
GCD of 14, 248, 887, 433 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 248, 887, 433?
GCD of 14, 248, 887, 433 is 1
2. Where do I get the detailed procedure to find GCD of 14, 248, 887, 433?
You can find a detailed procedure to find GCD of 14, 248, 887, 433 on our page.
3. How to find GCD of 14, 248, 887, 433 on a calculator?
You can find the GCD of 14, 248, 887, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.