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 480, 915, 466 i.e. 1 largest integer that divides all the numbers equally.
GCD of 480, 915, 466 is 1
GCD(480, 915, 466) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 915, 466 is 1
GCD(480, 915, 466) = 1
Given Input numbers are 480, 915, 466
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Greatest Common Divisior
We found the divisors of 480, 915, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 915, 466 is 1.
Therefore, GCD of numbers 480, 915, 466 is 1
Given Input Data is 480, 915, 466
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 915 is 3 x 5 x 61
Prime Factorization of 466 is 2 x 233
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(480, 915) = 29280
GCD(480, 915) = ( 480 x 915 ) / 29280
GCD(480, 915) = 439200 / 29280
GCD(480, 915) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 466) = 6990
GCD(15, 466) = ( 15 x 466 ) / 6990
GCD(15, 466) = 6990 / 6990
GCD(15, 466) = 1
GCD of 480, 915, 466 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 915, 466?
GCD of 480, 915, 466 is 1
2. Where do I get the detailed procedure to find GCD of 480, 915, 466?
You can find a detailed procedure to find GCD of 480, 915, 466 on our page.
3. How to find GCD of 480, 915, 466 on a calculator?
You can find the GCD of 480, 915, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.