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, 399, 29, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 399, 29, 297 is 1
GCD(871, 399, 29, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 399, 29, 297 is 1
GCD(871, 399, 29, 297) = 1
Given Input numbers are 871, 399, 29, 297
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 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 871, 399, 29, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 399, 29, 297 is 1.
Therefore, GCD of numbers 871, 399, 29, 297 is 1
Given Input Data is 871, 399, 29, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 29 is 29
Prime Factorization of 297 is 3 x 3 x 3 x 11
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, 399) = 347529
GCD(871, 399) = ( 871 x 399 ) / 347529
GCD(871, 399) = 347529 / 347529
GCD(871, 399) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 29) = 29
GCD(1, 29) = ( 1 x 29 ) / 29
GCD(1, 29) = 29 / 29
GCD(1, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
GCD(1, 297) = 297 / 297
GCD(1, 297) = 1
GCD of 871, 399, 29, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 399, 29, 297?
GCD of 871, 399, 29, 297 is 1
2. Where do I get the detailed procedure to find GCD of 871, 399, 29, 297?
You can find a detailed procedure to find GCD of 871, 399, 29, 297 on our page.
3. How to find GCD of 871, 399, 29, 297 on a calculator?
You can find the GCD of 871, 399, 29, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.