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 106, 808, 598, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 106, 808, 598, 425 is 1
GCD(106, 808, 598, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 106, 808, 598, 425 is 1
GCD(106, 808, 598, 425) = 1
Given Input numbers are 106, 808, 598, 425
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
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 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 106, 808, 598, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 808, 598, 425 is 1.
Therefore, GCD of numbers 106, 808, 598, 425 is 1
Given Input Data is 106, 808, 598, 425
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 106 is 2 x 53
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 598 is 2 x 13 x 23
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(106, 808) = 42824
GCD(106, 808) = ( 106 x 808 ) / 42824
GCD(106, 808) = 85648 / 42824
GCD(106, 808) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 598
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 598) = 598
GCD(2, 598) = ( 2 x 598 ) / 598
GCD(2, 598) = 1196 / 598
GCD(2, 598) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 425) = 850
GCD(2, 425) = ( 2 x 425 ) / 850
GCD(2, 425) = 850 / 850
GCD(2, 425) = 1
GCD of 106, 808, 598, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 106, 808, 598, 425?
GCD of 106, 808, 598, 425 is 1
2. Where do I get the detailed procedure to find GCD of 106, 808, 598, 425?
You can find a detailed procedure to find GCD of 106, 808, 598, 425 on our page.
3. How to find GCD of 106, 808, 598, 425 on a calculator?
You can find the GCD of 106, 808, 598, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.