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, 575, 60, 223 i.e. 1 largest integer that divides all the numbers equally.
GCD of 480, 575, 60, 223 is 1
GCD(480, 575, 60, 223) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 575, 60, 223 is 1
GCD(480, 575, 60, 223) = 1
Given Input numbers are 480, 575, 60, 223
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 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Greatest Common Divisior
We found the divisors of 480, 575, 60, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 575, 60, 223 is 1.
Therefore, GCD of numbers 480, 575, 60, 223 is 1
Given Input Data is 480, 575, 60, 223
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 575 is 5 x 5 x 23
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 223 is 223
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, 575) = 55200
GCD(480, 575) = ( 480 x 575 ) / 55200
GCD(480, 575) = 276000 / 55200
GCD(480, 575) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 60) = 60
GCD(5, 60) = ( 5 x 60 ) / 60
GCD(5, 60) = 300 / 60
GCD(5, 60) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 223
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 223) = 1115
GCD(5, 223) = ( 5 x 223 ) / 1115
GCD(5, 223) = 1115 / 1115
GCD(5, 223) = 1
GCD of 480, 575, 60, 223 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 575, 60, 223?
GCD of 480, 575, 60, 223 is 1
2. Where do I get the detailed procedure to find GCD of 480, 575, 60, 223?
You can find a detailed procedure to find GCD of 480, 575, 60, 223 on our page.
3. How to find GCD of 480, 575, 60, 223 on a calculator?
You can find the GCD of 480, 575, 60, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.