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 871, 113, 69, 899 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 113, 69, 899 is 1
GCD(871, 113, 69, 899) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 113, 69, 899 is 1
GCD(871, 113, 69, 899) = 1
Given Input numbers are 871, 113, 69, 899
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Greatest Common Divisior
We found the divisors of 871, 113, 69, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 113, 69, 899 is 1.
Therefore, GCD of numbers 871, 113, 69, 899 is 1
Given Input Data is 871, 113, 69, 899
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 113 is 113
Prime Factorization of 69 is 3 x 23
Prime Factorization of 899 is 29 x 31
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(871, 113) = 98423
GCD(871, 113) = ( 871 x 113 ) / 98423
GCD(871, 113) = 98423 / 98423
GCD(871, 113) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 899
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 899) = 899
GCD(1, 899) = ( 1 x 899 ) / 899
GCD(1, 899) = 899 / 899
GCD(1, 899) = 1
GCD of 871, 113, 69, 899 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 113, 69, 899?
GCD of 871, 113, 69, 899 is 1
2. Where do I get the detailed procedure to find GCD of 871, 113, 69, 899?
You can find a detailed procedure to find GCD of 871, 113, 69, 899 on our page.
3. How to find GCD of 871, 113, 69, 899 on a calculator?
You can find the GCD of 871, 113, 69, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.