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, 908, 55, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 908, 55, 336 is 1
GCD(871, 908, 55, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 908, 55, 336 is 1
GCD(871, 908, 55, 336) = 1
Given Input numbers are 871, 908, 55, 336
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 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 871, 908, 55, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 908, 55, 336 is 1.
Therefore, GCD of numbers 871, 908, 55, 336 is 1
Given Input Data is 871, 908, 55, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 55 is 5 x 11
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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, 908) = 790868
GCD(871, 908) = ( 871 x 908 ) / 790868
GCD(871, 908) = 790868 / 790868
GCD(871, 908) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 55) = 55
GCD(1, 55) = ( 1 x 55 ) / 55
GCD(1, 55) = 55 / 55
GCD(1, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
GCD of 871, 908, 55, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 908, 55, 336?
GCD of 871, 908, 55, 336 is 1
2. Where do I get the detailed procedure to find GCD of 871, 908, 55, 336?
You can find a detailed procedure to find GCD of 871, 908, 55, 336 on our page.
3. How to find GCD of 871, 908, 55, 336 on a calculator?
You can find the GCD of 871, 908, 55, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.