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, 293, 458, 199 i.e. 1 largest integer that divides all the numbers equally.
GCD of 480, 293, 458, 199 is 1
GCD(480, 293, 458, 199) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 293, 458, 199 is 1
GCD(480, 293, 458, 199) = 1
Given Input numbers are 480, 293, 458, 199
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 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Greatest Common Divisior
We found the divisors of 480, 293, 458, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 293, 458, 199 is 1.
Therefore, GCD of numbers 480, 293, 458, 199 is 1
Given Input Data is 480, 293, 458, 199
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 293 is 293
Prime Factorization of 458 is 2 x 229
Prime Factorization of 199 is 199
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, 293) = 140640
GCD(480, 293) = ( 480 x 293 ) / 140640
GCD(480, 293) = 140640 / 140640
GCD(480, 293) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 458
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 458) = 458
GCD(1, 458) = ( 1 x 458 ) / 458
GCD(1, 458) = 458 / 458
GCD(1, 458) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 199) = 199
GCD(1, 199) = ( 1 x 199 ) / 199
GCD(1, 199) = 199 / 199
GCD(1, 199) = 1
GCD of 480, 293, 458, 199 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 293, 458, 199?
GCD of 480, 293, 458, 199 is 1
2. Where do I get the detailed procedure to find GCD of 480, 293, 458, 199?
You can find a detailed procedure to find GCD of 480, 293, 458, 199 on our page.
3. How to find GCD of 480, 293, 458, 199 on a calculator?
You can find the GCD of 480, 293, 458, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.