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 285, 825, 47, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 285, 825, 47, 425 is 1
GCD(285, 825, 47, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 285, 825, 47, 425 is 1
GCD(285, 825, 47, 425) = 1
Given Input numbers are 285, 825, 47, 425
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Greatest Common Divisior
We found the divisors of 285, 825, 47, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 825, 47, 425 is 1.
Therefore, GCD of numbers 285, 825, 47, 425 is 1
Given Input Data is 285, 825, 47, 425
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 47 is 47
Prime Factorization of 425 is 5 x 5 x 17
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(285, 825) = 15675
GCD(285, 825) = ( 285 x 825 ) / 15675
GCD(285, 825) = 235125 / 15675
GCD(285, 825) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 47) = 705
GCD(15, 47) = ( 15 x 47 ) / 705
GCD(15, 47) = 705 / 705
GCD(15, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
GCD(1, 425) = 425 / 425
GCD(1, 425) = 1
GCD of 285, 825, 47, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 285, 825, 47, 425?
GCD of 285, 825, 47, 425 is 1
2. Where do I get the detailed procedure to find GCD of 285, 825, 47, 425?
You can find a detailed procedure to find GCD of 285, 825, 47, 425 on our page.
3. How to find GCD of 285, 825, 47, 425 on a calculator?
You can find the GCD of 285, 825, 47, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.