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, 741, 908, 369 i.e. 1 largest integer that divides all the numbers equally.
GCD of 598, 741, 908, 369 is 1
GCD(598, 741, 908, 369) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 598, 741, 908, 369 is 1
GCD(598, 741, 908, 369) = 1
Given Input numbers are 598, 741, 908, 369
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 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Greatest Common Divisior
We found the divisors of 598, 741, 908, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 741, 908, 369 is 1.
Therefore, GCD of numbers 598, 741, 908, 369 is 1
Given Input Data is 598, 741, 908, 369
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 741 is 3 x 13 x 19
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 369 is 3 x 3 x 41
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, 741) = 34086
GCD(598, 741) = ( 598 x 741 ) / 34086
GCD(598, 741) = 443118 / 34086
GCD(598, 741) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 908) = 11804
GCD(13, 908) = ( 13 x 908 ) / 11804
GCD(13, 908) = 11804 / 11804
GCD(13, 908) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
GCD of 598, 741, 908, 369 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 598, 741, 908, 369?
GCD of 598, 741, 908, 369 is 1
2. Where do I get the detailed procedure to find GCD of 598, 741, 908, 369?
You can find a detailed procedure to find GCD of 598, 741, 908, 369 on our page.
3. How to find GCD of 598, 741, 908, 369 on a calculator?
You can find the GCD of 598, 741, 908, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.