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 901, 916, 14, 999 i.e. 1 largest integer that divides all the numbers equally.
GCD of 901, 916, 14, 999 is 1
GCD(901, 916, 14, 999) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 901, 916, 14, 999 is 1
GCD(901, 916, 14, 999) = 1
Given Input numbers are 901, 916, 14, 999
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Greatest Common Divisior
We found the divisors of 901, 916, 14, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 916, 14, 999 is 1.
Therefore, GCD of numbers 901, 916, 14, 999 is 1
Given Input Data is 901, 916, 14, 999
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 901 is 17 x 53
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 14 is 2 x 7
Prime Factorization of 999 is 3 x 3 x 3 x 37
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(901, 916) = 825316
GCD(901, 916) = ( 901 x 916 ) / 825316
GCD(901, 916) = 825316 / 825316
GCD(901, 916) = 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 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 999) = 999
GCD(1, 999) = ( 1 x 999 ) / 999
GCD(1, 999) = 999 / 999
GCD(1, 999) = 1
GCD of 901, 916, 14, 999 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 901, 916, 14, 999?
GCD of 901, 916, 14, 999 is 1
2. Where do I get the detailed procedure to find GCD of 901, 916, 14, 999?
You can find a detailed procedure to find GCD of 901, 916, 14, 999 on our page.
3. How to find GCD of 901, 916, 14, 999 on a calculator?
You can find the GCD of 901, 916, 14, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.