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 720, 575, 93, 447 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 575, 93, 447 is 1
GCD(720, 575, 93, 447) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 575, 93, 447 is 1
GCD(720, 575, 93, 447) = 1
Given Input numbers are 720, 575, 93, 447
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Greatest Common Divisior
We found the divisors of 720, 575, 93, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 575, 93, 447 is 1.
Therefore, GCD of numbers 720, 575, 93, 447 is 1
Given Input Data is 720, 575, 93, 447
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 93 is 3 x 31
Prime Factorization of 447 is 3 x 149
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(720, 575) = 82800
GCD(720, 575) = ( 720 x 575 ) / 82800
GCD(720, 575) = 414000 / 82800
GCD(720, 575) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 93) = 465
GCD(5, 93) = ( 5 x 93 ) / 465
GCD(5, 93) = 465 / 465
GCD(5, 93) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 447
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 447) = 447
GCD(1, 447) = ( 1 x 447 ) / 447
GCD(1, 447) = 447 / 447
GCD(1, 447) = 1
GCD of 720, 575, 93, 447 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 575, 93, 447?
GCD of 720, 575, 93, 447 is 1
2. Where do I get the detailed procedure to find GCD of 720, 575, 93, 447?
You can find a detailed procedure to find GCD of 720, 575, 93, 447 on our page.
3. How to find GCD of 720, 575, 93, 447 on a calculator?
You can find the GCD of 720, 575, 93, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.