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, 562, 16, 602 i.e. 2 largest integer that divides all the numbers equally.
GCD of 596, 562, 16, 602 is 2
GCD(596, 562, 16, 602) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 596, 562, 16, 602 is 2
GCD(596, 562, 16, 602) = 2
Given Input numbers are 596, 562, 16, 602
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 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Greatest Common Divisior
We found the divisors of 596, 562, 16, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 562, 16, 602 is 2.
Therefore, GCD of numbers 596, 562, 16, 602 is 2
Given Input Data is 596, 562, 16, 602
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 562 is 2 x 281
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 602 is 2 x 7 x 43
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, 562) = 167476
GCD(596, 562) = ( 596 x 562 ) / 167476
GCD(596, 562) = 334952 / 167476
GCD(596, 562) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 16) = 16
GCD(2, 16) = ( 2 x 16 ) / 16
GCD(2, 16) = 32 / 16
GCD(2, 16) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 602) = 602
GCD(2, 602) = ( 2 x 602 ) / 602
GCD(2, 602) = 1204 / 602
GCD(2, 602) = 2
GCD of 596, 562, 16, 602 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 596, 562, 16, 602?
GCD of 596, 562, 16, 602 is 2
2. Where do I get the detailed procedure to find GCD of 596, 562, 16, 602?
You can find a detailed procedure to find GCD of 596, 562, 16, 602 on our page.
3. How to find GCD of 596, 562, 16, 602 on a calculator?
You can find the GCD of 596, 562, 16, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.