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 322, 640, 392, 316 i.e. 2 largest integer that divides all the numbers equally.
GCD of 322, 640, 392, 316 is 2
GCD(322, 640, 392, 316) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 640, 392, 316 is 2
GCD(322, 640, 392, 316) = 2
Given Input numbers are 322, 640, 392, 316
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Greatest Common Divisior
We found the divisors of 322, 640, 392, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 640, 392, 316 is 2.
Therefore, GCD of numbers 322, 640, 392, 316 is 2
Given Input Data is 322, 640, 392, 316
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 316 is 2 x 2 x 79
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(322, 640) = 103040
GCD(322, 640) = ( 322 x 640 ) / 103040
GCD(322, 640) = 206080 / 103040
GCD(322, 640) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 392) = 392
GCD(2, 392) = ( 2 x 392 ) / 392
GCD(2, 392) = 784 / 392
GCD(2, 392) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 316) = 316
GCD(2, 316) = ( 2 x 316 ) / 316
GCD(2, 316) = 632 / 316
GCD(2, 316) = 2
GCD of 322, 640, 392, 316 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 640, 392, 316?
GCD of 322, 640, 392, 316 is 2
2. Where do I get the detailed procedure to find GCD of 322, 640, 392, 316?
You can find a detailed procedure to find GCD of 322, 640, 392, 316 on our page.
3. How to find GCD of 322, 640, 392, 316 on a calculator?
You can find the GCD of 322, 640, 392, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.