GCD of 306, 578, 969 Calculator

Given Input numbers are 306, 578, 969

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 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 306, 578, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 578, 969 is 17.

Therefore, GCD of numbers 306, 578, 969 is 17

Given Input Data is 306, 578, 969

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 578 is 2 x 17 x 17

Prime Factorization of 969 is 3 x 17 x 19

Highest common occurrences in the given inputs are 17¹

Multiplying them we get the GCD as 17

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, 578) = 5202

GCD(306, 578) = ( 306 x 578 ) / 5202

GCD(306, 578) = 176868 / 5202

GCD(306, 578) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 969

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

LCM(34, 969) = 1938

GCD(34, 969) = ( 34 x 969 ) / 1938

GCD(34, 969) = 32946 / 1938

GCD(34, 969) = 17

GCD of 306, 578, 969 is 17

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1. What is the GCD of 306, 578, 969?

GCD of 306, 578, 969 is 17

2. Where do I get the detailed procedure to find GCD of 306, 578, 969?

You can find a detailed procedure to find GCD of 306, 578, 969 on our page.

3. How to find GCD of 306, 578, 969 on a calculator?

You can find the GCD of 306, 578, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.