GCD of 315, 480, 249 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 315, 480, 249 i.e. 3 largest integer that divides all the numbers equally.
GCD of 315, 480, 249 is 3
GCD(315, 480, 249) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 480, 249 is 3
GCD(315, 480, 249) = 3
GCDof 315,480,249 is 3
Given Input numbers are 315, 480, 249
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
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 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Greatest Common Divisior
We found the divisors of 315, 480, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 480, 249 is 3.
Therefore, GCD of numbers 315, 480, 249 is 3
Given Input Data is 315, 480, 249
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 249 is 3 x 83
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 315, 480, 249 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(315, 480) = 10080
GCD(315, 480) = ( 315 x 480 ) / 10080
GCD(315, 480) = 151200 / 10080
GCD(315, 480) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 249) = 1245
GCD(15, 249) = ( 15 x 249 ) / 1245
GCD(15, 249) = 3735 / 1245
GCD(15, 249) = 3
GCD of 315, 480, 249 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 315, 480, 249
1. What is the GCD of 315, 480, 249?
GCD of 315, 480, 249 is 3
2. Where do I get the detailed procedure to find GCD of 315, 480, 249?
You can find a detailed procedure to find GCD of 315, 480, 249 on our page.
3. How to find GCD of 315, 480, 249 on a calculator?
You can find the GCD of 315, 480, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.