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 99, 388, 563, 460 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 388, 563, 460 is 1
GCD(99, 388, 563, 460) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 388, 563, 460 is 1
GCD(99, 388, 563, 460) = 1
Given Input numbers are 99, 388, 563, 460
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Greatest Common Divisior
We found the divisors of 99, 388, 563, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 388, 563, 460 is 1.
Therefore, GCD of numbers 99, 388, 563, 460 is 1
Given Input Data is 99, 388, 563, 460
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 563 is 563
Prime Factorization of 460 is 2 x 2 x 5 x 23
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(99, 388) = 38412
GCD(99, 388) = ( 99 x 388 ) / 38412
GCD(99, 388) = 38412 / 38412
GCD(99, 388) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 563
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 563) = 563
GCD(1, 563) = ( 1 x 563 ) / 563
GCD(1, 563) = 563 / 563
GCD(1, 563) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
GCD of 99, 388, 563, 460 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 388, 563, 460?
GCD of 99, 388, 563, 460 is 1
2. Where do I get the detailed procedure to find GCD of 99, 388, 563, 460?
You can find a detailed procedure to find GCD of 99, 388, 563, 460 on our page.
3. How to find GCD of 99, 388, 563, 460 on a calculator?
You can find the GCD of 99, 388, 563, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.