GCD of 327, 453, 480 Calculator
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 327, 453, 480 i.e. 3 largest integer that divides all the numbers equally.
GCD of 327, 453, 480 is 3
GCD(327, 453, 480) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 327, 453, 480 is 3
GCD(327, 453, 480) = 3
GCDof 327,453,480 is 3
Given Input numbers are 327, 453, 480
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
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
Greatest Common Divisior
We found the divisors of 327, 453, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 453, 480 is 3.
Therefore, GCD of numbers 327, 453, 480 is 3
Given Input Data is 327, 453, 480
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 327 is 3 x 109
Prime Factorization of 453 is 3 x 151
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 327, 453, 480 using LCM Formula
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(327, 453) = 49377
GCD(327, 453) = ( 327 x 453 ) / 49377
GCD(327, 453) = 148131 / 49377
GCD(327, 453) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 480) = 480
GCD(3, 480) = ( 3 x 480 ) / 480
GCD(3, 480) = 1440 / 480
GCD(3, 480) = 3
GCD of 327, 453, 480 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 327, 453, 480
1. What is the GCD of 327, 453, 480?
GCD of 327, 453, 480 is 3
2. Where do I get the detailed procedure to find GCD of 327, 453, 480?
You can find a detailed procedure to find GCD of 327, 453, 480 on our page.
3. How to find GCD of 327, 453, 480 on a calculator?
You can find the GCD of 327, 453, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.