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 320, 694, 598 i.e. 2 largest integer that divides all the numbers equally.
GCD of 320, 694, 598 is 2
GCD(320, 694, 598) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 694, 598 is 2
GCD(320, 694, 598) = 2
Given Input numbers are 320, 694, 598
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Greatest Common Divisior
We found the divisors of 320, 694, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 694, 598 is 2.
Therefore, GCD of numbers 320, 694, 598 is 2
Given Input Data is 320, 694, 598
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 694 is 2 x 347
Prime Factorization of 598 is 2 x 13 x 23
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(320, 694) = 111040
GCD(320, 694) = ( 320 x 694 ) / 111040
GCD(320, 694) = 222080 / 111040
GCD(320, 694) = 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
GCD of 320, 694, 598 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 694, 598?
GCD of 320, 694, 598 is 2
2. Where do I get the detailed procedure to find GCD of 320, 694, 598?
You can find a detailed procedure to find GCD of 320, 694, 598 on our page.
3. How to find GCD of 320, 694, 598 on a calculator?
You can find the GCD of 320, 694, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.