GCD of 668, 306, 65 Calculator

Given Input numbers are 668, 306, 65

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

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Greatest Common Divisior

We found the divisors of 668, 306, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 306, 65 is 1.

Therefore, GCD of numbers 668, 306, 65 is 1

Given Input Data is 668, 306, 65

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

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 65 is 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

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(668, 306) = 102204

GCD(668, 306) = ( 668 x 306 ) / 102204

GCD(668, 306) = 204408 / 102204

GCD(668, 306) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

GCD of 668, 306, 65 is 1

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1. What is the GCD of 668, 306, 65?

GCD of 668, 306, 65 is 1

2. Where do I get the detailed procedure to find GCD of 668, 306, 65?

You can find a detailed procedure to find GCD of 668, 306, 65 on our page.

3. How to find GCD of 668, 306, 65 on a calculator?

You can find the GCD of 668, 306, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.