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, 801, 871, 885 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 801, 871, 885 is 1
GCD(14, 801, 871, 885) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 801, 871, 885 is 1
GCD(14, 801, 871, 885) = 1
Given Input numbers are 14, 801, 871, 885
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 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Greatest Common Divisior
We found the divisors of 14, 801, 871, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 801, 871, 885 is 1.
Therefore, GCD of numbers 14, 801, 871, 885 is 1
Given Input Data is 14, 801, 871, 885
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 871 is 13 x 67
Prime Factorization of 885 is 3 x 5 x 59
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, 801) = 11214
GCD(14, 801) = ( 14 x 801 ) / 11214
GCD(14, 801) = 11214 / 11214
GCD(14, 801) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 871) = 871
GCD(1, 871) = ( 1 x 871 ) / 871
GCD(1, 871) = 871 / 871
GCD(1, 871) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 885) = 885
GCD(1, 885) = ( 1 x 885 ) / 885
GCD(1, 885) = 885 / 885
GCD(1, 885) = 1
GCD of 14, 801, 871, 885 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 801, 871, 885?
GCD of 14, 801, 871, 885 is 1
2. Where do I get the detailed procedure to find GCD of 14, 801, 871, 885?
You can find a detailed procedure to find GCD of 14, 801, 871, 885 on our page.
3. How to find GCD of 14, 801, 871, 885 on a calculator?
You can find the GCD of 14, 801, 871, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.