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 845, 447, 20, 240 i.e. 1 largest integer that divides all the numbers equally.
GCD of 845, 447, 20, 240 is 1
GCD(845, 447, 20, 240) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 845, 447, 20, 240 is 1
GCD(845, 447, 20, 240) = 1
Given Input numbers are 845, 447, 20, 240
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Greatest Common Divisior
We found the divisors of 845, 447, 20, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 447, 20, 240 is 1.
Therefore, GCD of numbers 845, 447, 20, 240 is 1
Given Input Data is 845, 447, 20, 240
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 447 is 3 x 149
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 240 is 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(845, 447) = 377715
GCD(845, 447) = ( 845 x 447 ) / 377715
GCD(845, 447) = 377715 / 377715
GCD(845, 447) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
GCD of 845, 447, 20, 240 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 845, 447, 20, 240?
GCD of 845, 447, 20, 240 is 1
2. Where do I get the detailed procedure to find GCD of 845, 447, 20, 240?
You can find a detailed procedure to find GCD of 845, 447, 20, 240 on our page.
3. How to find GCD of 845, 447, 20, 240 on a calculator?
You can find the GCD of 845, 447, 20, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.