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 243, 447, 45, 788 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 447, 45, 788 is 1
GCD(243, 447, 45, 788) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 447, 45, 788 is 1
GCD(243, 447, 45, 788) = 1
Given Input numbers are 243, 447, 45, 788
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Greatest Common Divisior
We found the divisors of 243, 447, 45, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 447, 45, 788 is 1.
Therefore, GCD of numbers 243, 447, 45, 788 is 1
Given Input Data is 243, 447, 45, 788
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 447 is 3 x 149
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 788 is 2 x 2 x 197
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(243, 447) = 36207
GCD(243, 447) = ( 243 x 447 ) / 36207
GCD(243, 447) = 108621 / 36207
GCD(243, 447) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 45) = 45
GCD(3, 45) = ( 3 x 45 ) / 45
GCD(3, 45) = 135 / 45
GCD(3, 45) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 788) = 2364
GCD(3, 788) = ( 3 x 788 ) / 2364
GCD(3, 788) = 2364 / 2364
GCD(3, 788) = 1
GCD of 243, 447, 45, 788 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 447, 45, 788?
GCD of 243, 447, 45, 788 is 1
2. Where do I get the detailed procedure to find GCD of 243, 447, 45, 788?
You can find a detailed procedure to find GCD of 243, 447, 45, 788 on our page.
3. How to find GCD of 243, 447, 45, 788 on a calculator?
You can find the GCD of 243, 447, 45, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.