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, 381, 387, 247 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 381, 387, 247 is 1
GCD(99, 381, 387, 247) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 381, 387, 247 is 1
GCD(99, 381, 387, 247) = 1
Given Input numbers are 99, 381, 387, 247
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 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 247
List of positive integer divisors of 247 that divides 247 without a remainder.
1, 13, 19, 247
Greatest Common Divisior
We found the divisors of 99, 381, 387, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 381, 387, 247 is 1.
Therefore, GCD of numbers 99, 381, 387, 247 is 1
Given Input Data is 99, 381, 387, 247
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 381 is 3 x 127
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 247 is 13 x 19
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, 381) = 12573
GCD(99, 381) = ( 99 x 381 ) / 12573
GCD(99, 381) = 37719 / 12573
GCD(99, 381) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 387) = 387
GCD(3, 387) = ( 3 x 387 ) / 387
GCD(3, 387) = 1161 / 387
GCD(3, 387) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 247
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 247) = 741
GCD(3, 247) = ( 3 x 247 ) / 741
GCD(3, 247) = 741 / 741
GCD(3, 247) = 1
GCD of 99, 381, 387, 247 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 381, 387, 247?
GCD of 99, 381, 387, 247 is 1
2. Where do I get the detailed procedure to find GCD of 99, 381, 387, 247?
You can find a detailed procedure to find GCD of 99, 381, 387, 247 on our page.
3. How to find GCD of 99, 381, 387, 247 on a calculator?
You can find the GCD of 99, 381, 387, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.