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 999, 920, 110, 880 i.e. 1 largest integer that divides all the numbers equally.
GCD of 999, 920, 110, 880 is 1
GCD(999, 920, 110, 880) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 920, 110, 880 is 1
GCD(999, 920, 110, 880) = 1
Given Input numbers are 999, 920, 110, 880
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Greatest Common Divisior
We found the divisors of 999, 920, 110, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 920, 110, 880 is 1.
Therefore, GCD of numbers 999, 920, 110, 880 is 1
Given Input Data is 999, 920, 110, 880
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 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(999, 920) = 919080
GCD(999, 920) = ( 999 x 920 ) / 919080
GCD(999, 920) = 919080 / 919080
GCD(999, 920) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 880
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 880) = 880
GCD(1, 880) = ( 1 x 880 ) / 880
GCD(1, 880) = 880 / 880
GCD(1, 880) = 1
GCD of 999, 920, 110, 880 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 920, 110, 880?
GCD of 999, 920, 110, 880 is 1
2. Where do I get the detailed procedure to find GCD of 999, 920, 110, 880?
You can find a detailed procedure to find GCD of 999, 920, 110, 880 on our page.
3. How to find GCD of 999, 920, 110, 880 on a calculator?
You can find the GCD of 999, 920, 110, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.