GCD of 205, 185, 320 Calculator

Given Input numbers are 205, 185, 320

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

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

Greatest Common Divisior

We found the divisors of 205, 185, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 185, 320 is 5.

Therefore, GCD of numbers 205, 185, 320 is 5

Given Input Data is 205, 185, 320

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 205 is 5 x 41

Prime Factorization of 185 is 5 x 37

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(205, 185) = 7585

GCD(205, 185) = ( 205 x 185 ) / 7585

GCD(205, 185) = 37925 / 7585

GCD(205, 185) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 320

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 320) = 320

GCD(5, 320) = ( 5 x 320 ) / 320

GCD(5, 320) = 1600 / 320

GCD(5, 320) = 5

GCD of 205, 185, 320 is 5

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1. What is the GCD of 205, 185, 320?

GCD of 205, 185, 320 is 5

2. Where do I get the detailed procedure to find GCD of 205, 185, 320?

You can find a detailed procedure to find GCD of 205, 185, 320 on our page.

3. How to find GCD of 205, 185, 320 on a calculator?

You can find the GCD of 205, 185, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.