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 727, 893, 512, 480 i.e. 1 largest integer that divides all the numbers equally.
GCD of 727, 893, 512, 480 is 1
GCD(727, 893, 512, 480) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 727, 893, 512, 480 is 1
GCD(727, 893, 512, 480) = 1
Given Input numbers are 727, 893, 512, 480
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
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
Greatest Common Divisior
We found the divisors of 727, 893, 512, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 893, 512, 480 is 1.
Therefore, GCD of numbers 727, 893, 512, 480 is 1
Given Input Data is 727, 893, 512, 480
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 727 is 727
Prime Factorization of 893 is 19 x 47
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
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(727, 893) = 649211
GCD(727, 893) = ( 727 x 893 ) / 649211
GCD(727, 893) = 649211 / 649211
GCD(727, 893) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 512
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
GCD(1, 512) = 512 / 512
GCD(1, 512) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
GCD(1, 480) = 480 / 480
GCD(1, 480) = 1
GCD of 727, 893, 512, 480 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 727, 893, 512, 480?
GCD of 727, 893, 512, 480 is 1
2. Where do I get the detailed procedure to find GCD of 727, 893, 512, 480?
You can find a detailed procedure to find GCD of 727, 893, 512, 480 on our page.
3. How to find GCD of 727, 893, 512, 480 on a calculator?
You can find the GCD of 727, 893, 512, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.