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 596, 734, 608 i.e. 2 largest integer that divides all the numbers equally.
GCD of 596, 734, 608 is 2
GCD(596, 734, 608) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 596, 734, 608 is 2
GCD(596, 734, 608) = 2
Given Input numbers are 596, 734, 608
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Greatest Common Divisior
We found the divisors of 596, 734, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 734, 608 is 2.
Therefore, GCD of numbers 596, 734, 608 is 2
Given Input Data is 596, 734, 608
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 734 is 2 x 367
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
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(596, 734) = 218732
GCD(596, 734) = ( 596 x 734 ) / 218732
GCD(596, 734) = 437464 / 218732
GCD(596, 734) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 608) = 608
GCD(2, 608) = ( 2 x 608 ) / 608
GCD(2, 608) = 1216 / 608
GCD(2, 608) = 2
GCD of 596, 734, 608 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 596, 734, 608?
GCD of 596, 734, 608 is 2
2. Where do I get the detailed procedure to find GCD of 596, 734, 608?
You can find a detailed procedure to find GCD of 596, 734, 608 on our page.
3. How to find GCD of 596, 734, 608 on a calculator?
You can find the GCD of 596, 734, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.