GCD of 306, 174, 260 Calculator

Given Input numbers are 306, 174, 260

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

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 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 306, 174, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 174, 260 is 2.

Therefore, GCD of numbers 306, 174, 260 is 2

Given Input Data is 306, 174, 260

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

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 260 is 2 x 2 x 5 x 13

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(306, 174) = 8874

GCD(306, 174) = ( 306 x 174 ) / 8874

GCD(306, 174) = 53244 / 8874

GCD(306, 174) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 260

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

LCM(6, 260) = 780

GCD(6, 260) = ( 6 x 260 ) / 780

GCD(6, 260) = 1560 / 780

GCD(6, 260) = 2

GCD of 306, 174, 260 is 2

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1. What is the GCD of 306, 174, 260?

GCD of 306, 174, 260 is 2

2. Where do I get the detailed procedure to find GCD of 306, 174, 260?

You can find a detailed procedure to find GCD of 306, 174, 260 on our page.

3. How to find GCD of 306, 174, 260 on a calculator?

You can find the GCD of 306, 174, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.