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 508, 887, 14, 729 i.e. 1 largest integer that divides all the numbers equally.
GCD of 508, 887, 14, 729 is 1
GCD(508, 887, 14, 729) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 508, 887, 14, 729 is 1
GCD(508, 887, 14, 729) = 1
Given Input numbers are 508, 887, 14, 729
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 887
List of positive integer divisors of 887 that divides 887 without a remainder.
1, 887
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Greatest Common Divisior
We found the divisors of 508, 887, 14, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 887, 14, 729 is 1.
Therefore, GCD of numbers 508, 887, 14, 729 is 1
Given Input Data is 508, 887, 14, 729
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 887 is 887
Prime Factorization of 14 is 2 x 7
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
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(508, 887) = 450596
GCD(508, 887) = ( 508 x 887 ) / 450596
GCD(508, 887) = 450596 / 450596
GCD(508, 887) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
GCD of 508, 887, 14, 729 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 508, 887, 14, 729?
GCD of 508, 887, 14, 729 is 1
2. Where do I get the detailed procedure to find GCD of 508, 887, 14, 729?
You can find a detailed procedure to find GCD of 508, 887, 14, 729 on our page.
3. How to find GCD of 508, 887, 14, 729 on a calculator?
You can find the GCD of 508, 887, 14, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.