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 18, 303, 267, 880 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 303, 267, 880 is 1
GCD(18, 303, 267, 880) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 303, 267, 880 is 1
GCD(18, 303, 267, 880) = 1
Given Input numbers are 18, 303, 267, 880
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
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 18, 303, 267, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 303, 267, 880 is 1.
Therefore, GCD of numbers 18, 303, 267, 880 is 1
Given Input Data is 18, 303, 267, 880
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 303 is 3 x 101
Prime Factorization of 267 is 3 x 89
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(18, 303) = 1818
GCD(18, 303) = ( 18 x 303 ) / 1818
GCD(18, 303) = 5454 / 1818
GCD(18, 303) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 267) = 267
GCD(3, 267) = ( 3 x 267 ) / 267
GCD(3, 267) = 801 / 267
GCD(3, 267) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 880
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 880) = 2640
GCD(3, 880) = ( 3 x 880 ) / 2640
GCD(3, 880) = 2640 / 2640
GCD(3, 880) = 1
GCD of 18, 303, 267, 880 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 303, 267, 880?
GCD of 18, 303, 267, 880 is 1
2. Where do I get the detailed procedure to find GCD of 18, 303, 267, 880?
You can find a detailed procedure to find GCD of 18, 303, 267, 880 on our page.
3. How to find GCD of 18, 303, 267, 880 on a calculator?
You can find the GCD of 18, 303, 267, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.