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 848, 566, 20, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 848, 566, 20, 225 is 1
GCD(848, 566, 20, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 848, 566, 20, 225 is 1
GCD(848, 566, 20, 225) = 1
Given Input numbers are 848, 566, 20, 225
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Greatest Common Divisior
We found the divisors of 848, 566, 20, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 566, 20, 225 is 1.
Therefore, GCD of numbers 848, 566, 20, 225 is 1
Given Input Data is 848, 566, 20, 225
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 566 is 2 x 283
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 225 is 3 x 3 x 5 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(848, 566) = 239984
GCD(848, 566) = ( 848 x 566 ) / 239984
GCD(848, 566) = 479968 / 239984
GCD(848, 566) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 20) = 20
GCD(2, 20) = ( 2 x 20 ) / 20
GCD(2, 20) = 40 / 20
GCD(2, 20) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 225) = 450
GCD(2, 225) = ( 2 x 225 ) / 450
GCD(2, 225) = 450 / 450
GCD(2, 225) = 1
GCD of 848, 566, 20, 225 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 848, 566, 20, 225?
GCD of 848, 566, 20, 225 is 1
2. Where do I get the detailed procedure to find GCD of 848, 566, 20, 225?
You can find a detailed procedure to find GCD of 848, 566, 20, 225 on our page.
3. How to find GCD of 848, 566, 20, 225 on a calculator?
You can find the GCD of 848, 566, 20, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.