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 598, 225, 247, 842 i.e. 1 largest integer that divides all the numbers equally.
GCD of 598, 225, 247, 842 is 1
GCD(598, 225, 247, 842) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 598, 225, 247, 842 is 1
GCD(598, 225, 247, 842) = 1
Given Input numbers are 598, 225, 247, 842
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
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 247
List of positive integer divisors of 247 that divides 247 without a remainder.
1, 13, 19, 247
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Greatest Common Divisior
We found the divisors of 598, 225, 247, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 225, 247, 842 is 1.
Therefore, GCD of numbers 598, 225, 247, 842 is 1
Given Input Data is 598, 225, 247, 842
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 247 is 13 x 19
Prime Factorization of 842 is 2 x 421
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(598, 225) = 134550
GCD(598, 225) = ( 598 x 225 ) / 134550
GCD(598, 225) = 134550 / 134550
GCD(598, 225) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 247
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 247) = 247
GCD(1, 247) = ( 1 x 247 ) / 247
GCD(1, 247) = 247 / 247
GCD(1, 247) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
GCD(1, 842) = 842 / 842
GCD(1, 842) = 1
GCD of 598, 225, 247, 842 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 598, 225, 247, 842?
GCD of 598, 225, 247, 842 is 1
2. Where do I get the detailed procedure to find GCD of 598, 225, 247, 842?
You can find a detailed procedure to find GCD of 598, 225, 247, 842 on our page.
3. How to find GCD of 598, 225, 247, 842 on a calculator?
You can find the GCD of 598, 225, 247, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.