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 900, 848, 871, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 900, 848, 871, 178 is 1
GCD(900, 848, 871, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 900, 848, 871, 178 is 1
GCD(900, 848, 871, 178) = 1
Given Input numbers are 900, 848, 871, 178
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 900, 848, 871, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 848, 871, 178 is 1.
Therefore, GCD of numbers 900, 848, 871, 178 is 1
Given Input Data is 900, 848, 871, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 871 is 13 x 67
Prime Factorization of 178 is 2 x 89
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(900, 848) = 190800
GCD(900, 848) = ( 900 x 848 ) / 190800
GCD(900, 848) = 763200 / 190800
GCD(900, 848) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 871) = 3484
GCD(4, 871) = ( 4 x 871 ) / 3484
GCD(4, 871) = 3484 / 3484
GCD(4, 871) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 900, 848, 871, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 900, 848, 871, 178?
GCD of 900, 848, 871, 178 is 1
2. Where do I get the detailed procedure to find GCD of 900, 848, 871, 178?
You can find a detailed procedure to find GCD of 900, 848, 871, 178 on our page.
3. How to find GCD of 900, 848, 871, 178 on a calculator?
You can find the GCD of 900, 848, 871, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.