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, 465, 933, 888 i.e. 3 largest integer that divides all the numbers equally.
GCD of 363, 465, 933, 888 is 3
GCD(363, 465, 933, 888) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 465, 933, 888 is 3
GCD(363, 465, 933, 888) = 3
Given Input numbers are 363, 465, 933, 888
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 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Greatest Common Divisior
We found the divisors of 363, 465, 933, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 465, 933, 888 is 3.
Therefore, GCD of numbers 363, 465, 933, 888 is 3
Given Input Data is 363, 465, 933, 888
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 465 is 3 x 5 x 31
Prime Factorization of 933 is 3 x 311
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 465) = 56265
GCD(363, 465) = ( 363 x 465 ) / 56265
GCD(363, 465) = 168795 / 56265
GCD(363, 465) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 933) = 933
GCD(3, 933) = ( 3 x 933 ) / 933
GCD(3, 933) = 2799 / 933
GCD(3, 933) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 888
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 888) = 888
GCD(3, 888) = ( 3 x 888 ) / 888
GCD(3, 888) = 2664 / 888
GCD(3, 888) = 3
GCD of 363, 465, 933, 888 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 465, 933, 888?
GCD of 363, 465, 933, 888 is 3
2. Where do I get the detailed procedure to find GCD of 363, 465, 933, 888?
You can find a detailed procedure to find GCD of 363, 465, 933, 888 on our page.
3. How to find GCD of 363, 465, 933, 888 on a calculator?
You can find the GCD of 363, 465, 933, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.