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 338, 599, 998, 736 i.e. 1 largest integer that divides all the numbers equally.
GCD of 338, 599, 998, 736 is 1
GCD(338, 599, 998, 736) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 338, 599, 998, 736 is 1
GCD(338, 599, 998, 736) = 1
Given Input numbers are 338, 599, 998, 736
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Greatest Common Divisior
We found the divisors of 338, 599, 998, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 599, 998, 736 is 1.
Therefore, GCD of numbers 338, 599, 998, 736 is 1
Given Input Data is 338, 599, 998, 736
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 599 is 599
Prime Factorization of 998 is 2 x 499
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
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(338, 599) = 202462
GCD(338, 599) = ( 338 x 599 ) / 202462
GCD(338, 599) = 202462 / 202462
GCD(338, 599) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
GCD(1, 998) = 998 / 998
GCD(1, 998) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
GCD of 338, 599, 998, 736 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 338, 599, 998, 736?
GCD of 338, 599, 998, 736 is 1
2. Where do I get the detailed procedure to find GCD of 338, 599, 998, 736?
You can find a detailed procedure to find GCD of 338, 599, 998, 736 on our page.
3. How to find GCD of 338, 599, 998, 736 on a calculator?
You can find the GCD of 338, 599, 998, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.