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 363, 880, 90, 467 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 880, 90, 467 is 1
GCD(363, 880, 90, 467) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 880, 90, 467 is 1
GCD(363, 880, 90, 467) = 1
Given Input numbers are 363, 880, 90, 467
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
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
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Greatest Common Divisior
We found the divisors of 363, 880, 90, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 880, 90, 467 is 1.
Therefore, GCD of numbers 363, 880, 90, 467 is 1
Given Input Data is 363, 880, 90, 467
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 467 is 467
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(363, 880) = 29040
GCD(363, 880) = ( 363 x 880 ) / 29040
GCD(363, 880) = 319440 / 29040
GCD(363, 880) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 90) = 990
GCD(11, 90) = ( 11 x 90 ) / 990
GCD(11, 90) = 990 / 990
GCD(11, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 467
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 467) = 467
GCD(1, 467) = ( 1 x 467 ) / 467
GCD(1, 467) = 467 / 467
GCD(1, 467) = 1
GCD of 363, 880, 90, 467 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 880, 90, 467?
GCD of 363, 880, 90, 467 is 1
2. Where do I get the detailed procedure to find GCD of 363, 880, 90, 467?
You can find a detailed procedure to find GCD of 363, 880, 90, 467 on our page.
3. How to find GCD of 363, 880, 90, 467 on a calculator?
You can find the GCD of 363, 880, 90, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.