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, 590, 462 i.e. 2 largest integer that divides all the numbers equally.
GCD of 320, 590, 462 is 2
GCD(320, 590, 462) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 590, 462 is 2
GCD(320, 590, 462) = 2
Given Input numbers are 320, 590, 462
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 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Greatest Common Divisior
We found the divisors of 320, 590, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 590, 462 is 2.
Therefore, GCD of numbers 320, 590, 462 is 2
Given Input Data is 320, 590, 462
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 590 is 2 x 5 x 59
Prime Factorization of 462 is 2 x 3 x 7 x 11
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, 590) = 18880
GCD(320, 590) = ( 320 x 590 ) / 18880
GCD(320, 590) = 188800 / 18880
GCD(320, 590) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 462) = 2310
GCD(10, 462) = ( 10 x 462 ) / 2310
GCD(10, 462) = 4620 / 2310
GCD(10, 462) = 2
GCD of 320, 590, 462 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 590, 462?
GCD of 320, 590, 462 is 2
2. Where do I get the detailed procedure to find GCD of 320, 590, 462?
You can find a detailed procedure to find GCD of 320, 590, 462 on our page.
3. How to find GCD of 320, 590, 462 on a calculator?
You can find the GCD of 320, 590, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.