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, 472, 34, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 472, 34, 491 is 1
GCD(871, 472, 34, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 472, 34, 491 is 1
GCD(871, 472, 34, 491) = 1
Given Input numbers are 871, 472, 34, 491
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 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 871, 472, 34, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 472, 34, 491 is 1.
Therefore, GCD of numbers 871, 472, 34, 491 is 1
Given Input Data is 871, 472, 34, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 34 is 2 x 17
Prime Factorization of 491 is 491
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, 472) = 411112
GCD(871, 472) = ( 871 x 472 ) / 411112
GCD(871, 472) = 411112 / 411112
GCD(871, 472) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 34) = 34
GCD(1, 34) = ( 1 x 34 ) / 34
GCD(1, 34) = 34 / 34
GCD(1, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 871, 472, 34, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 472, 34, 491?
GCD of 871, 472, 34, 491 is 1
2. Where do I get the detailed procedure to find GCD of 871, 472, 34, 491?
You can find a detailed procedure to find GCD of 871, 472, 34, 491 on our page.
3. How to find GCD of 871, 472, 34, 491 on a calculator?
You can find the GCD of 871, 472, 34, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.