GCD of 306, 867, 434 Calculator

Given Input numbers are 306, 867, 434

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 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 306, 867, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 867, 434 is 1.

Therefore, GCD of numbers 306, 867, 434 is 1

Given Input Data is 306, 867, 434

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 867 is 3 x 17 x 17

Prime Factorization of 434 is 2 x 7 x 31

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(306, 867) = 5202

GCD(306, 867) = ( 306 x 867 ) / 5202

GCD(306, 867) = 265302 / 5202

GCD(306, 867) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 434

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

LCM(51, 434) = 22134

GCD(51, 434) = ( 51 x 434 ) / 22134

GCD(51, 434) = 22134 / 22134

GCD(51, 434) = 1

GCD of 306, 867, 434 is 1

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1. What is the GCD of 306, 867, 434?

GCD of 306, 867, 434 is 1

2. Where do I get the detailed procedure to find GCD of 306, 867, 434?

You can find a detailed procedure to find GCD of 306, 867, 434 on our page.

3. How to find GCD of 306, 867, 434 on a calculator?

You can find the GCD of 306, 867, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.