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, 888, 925, 943 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 888, 925, 943 is 1
GCD(14, 888, 925, 943) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 888, 925, 943 is 1
GCD(14, 888, 925, 943) = 1
Given Input numbers are 14, 888, 925, 943
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 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Greatest Common Divisior
We found the divisors of 14, 888, 925, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 888, 925, 943 is 1.
Therefore, GCD of numbers 14, 888, 925, 943 is 1
Given Input Data is 14, 888, 925, 943
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 943 is 23 x 41
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, 888) = 6216
GCD(14, 888) = ( 14 x 888 ) / 6216
GCD(14, 888) = 12432 / 6216
GCD(14, 888) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 925) = 1850
GCD(2, 925) = ( 2 x 925 ) / 1850
GCD(2, 925) = 1850 / 1850
GCD(2, 925) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 943
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 943) = 943
GCD(1, 943) = ( 1 x 943 ) / 943
GCD(1, 943) = 943 / 943
GCD(1, 943) = 1
GCD of 14, 888, 925, 943 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 888, 925, 943?
GCD of 14, 888, 925, 943 is 1
2. Where do I get the detailed procedure to find GCD of 14, 888, 925, 943?
You can find a detailed procedure to find GCD of 14, 888, 925, 943 on our page.
3. How to find GCD of 14, 888, 925, 943 on a calculator?
You can find the GCD of 14, 888, 925, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.