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 225, 609, 298, 848 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 609, 298, 848 is 1
GCD(225, 609, 298, 848) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 609, 298, 848 is 1
GCD(225, 609, 298, 848) = 1
Given Input numbers are 225, 609, 298, 848
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
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
Greatest Common Divisior
We found the divisors of 225, 609, 298, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 609, 298, 848 is 1.
Therefore, GCD of numbers 225, 609, 298, 848 is 1
Given Input Data is 225, 609, 298, 848
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 298 is 2 x 149
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
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(225, 609) = 45675
GCD(225, 609) = ( 225 x 609 ) / 45675
GCD(225, 609) = 137025 / 45675
GCD(225, 609) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 298
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 298) = 894
GCD(3, 298) = ( 3 x 298 ) / 894
GCD(3, 298) = 894 / 894
GCD(3, 298) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 848
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 848) = 848
GCD(1, 848) = ( 1 x 848 ) / 848
GCD(1, 848) = 848 / 848
GCD(1, 848) = 1
GCD of 225, 609, 298, 848 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 609, 298, 848?
GCD of 225, 609, 298, 848 is 1
2. Where do I get the detailed procedure to find GCD of 225, 609, 298, 848?
You can find a detailed procedure to find GCD of 225, 609, 298, 848 on our page.
3. How to find GCD of 225, 609, 298, 848 on a calculator?
You can find the GCD of 225, 609, 298, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.