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 238, 123, 645, 447 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 123, 645, 447 is 1
GCD(238, 123, 645, 447) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 123, 645, 447 is 1
GCD(238, 123, 645, 447) = 1
Given Input numbers are 238, 123, 645, 447
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
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 238, 123, 645, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 123, 645, 447 is 1.
Therefore, GCD of numbers 238, 123, 645, 447 is 1
Given Input Data is 238, 123, 645, 447
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 123 is 3 x 41
Prime Factorization of 645 is 3 x 5 x 43
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(238, 123) = 29274
GCD(238, 123) = ( 238 x 123 ) / 29274
GCD(238, 123) = 29274 / 29274
GCD(238, 123) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
GCD(1, 645) = 645 / 645
GCD(1, 645) = 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 238, 123, 645, 447 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 123, 645, 447?
GCD of 238, 123, 645, 447 is 1
2. Where do I get the detailed procedure to find GCD of 238, 123, 645, 447?
You can find a detailed procedure to find GCD of 238, 123, 645, 447 on our page.
3. How to find GCD of 238, 123, 645, 447 on a calculator?
You can find the GCD of 238, 123, 645, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.