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, 299, 45, 923 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 299, 45, 923 is 1
GCD(871, 299, 45, 923) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 299, 45, 923 is 1
GCD(871, 299, 45, 923) = 1
Given Input numbers are 871, 299, 45, 923
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 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Greatest Common Divisior
We found the divisors of 871, 299, 45, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 299, 45, 923 is 1.
Therefore, GCD of numbers 871, 299, 45, 923 is 1
Given Input Data is 871, 299, 45, 923
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 299 is 13 x 23
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 923 is 13 x 71
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, 299) = 20033
GCD(871, 299) = ( 871 x 299 ) / 20033
GCD(871, 299) = 260429 / 20033
GCD(871, 299) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 45) = 585
GCD(13, 45) = ( 13 x 45 ) / 585
GCD(13, 45) = 585 / 585
GCD(13, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 923) = 923
GCD(1, 923) = ( 1 x 923 ) / 923
GCD(1, 923) = 923 / 923
GCD(1, 923) = 1
GCD of 871, 299, 45, 923 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 299, 45, 923?
GCD of 871, 299, 45, 923 is 1
2. Where do I get the detailed procedure to find GCD of 871, 299, 45, 923?
You can find a detailed procedure to find GCD of 871, 299, 45, 923 on our page.
3. How to find GCD of 871, 299, 45, 923 on a calculator?
You can find the GCD of 871, 299, 45, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.