GCD of 456, 105, 304 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 456, 105, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 456, 105, 304 is 1
GCD(456, 105, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 456, 105, 304 is 1
GCD(456, 105, 304) = 1
GCDof 456,105,304 is 1
Given Input numbers are 456, 105, 304
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 456, 105, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 105, 304 is 1.
Therefore, GCD of numbers 456, 105, 304 is 1
Given Input Data is 456, 105, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 456, 105, 304 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(456, 105) = 15960
GCD(456, 105) = ( 456 x 105 ) / 15960
GCD(456, 105) = 47880 / 15960
GCD(456, 105) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 304) = 912
GCD(3, 304) = ( 3 x 304 ) / 912
GCD(3, 304) = 912 / 912
GCD(3, 304) = 1
GCD of 456, 105, 304 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 456, 105, 304
1. What is the GCD of 456, 105, 304?
GCD of 456, 105, 304 is 1
2. Where do I get the detailed procedure to find GCD of 456, 105, 304?
You can find a detailed procedure to find GCD of 456, 105, 304 on our page.
3. How to find GCD of 456, 105, 304 on a calculator?
You can find the GCD of 456, 105, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.