GCD of 708, 969, 306 Calculator

Given Input numbers are 708, 969, 306

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 969

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

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

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

Greatest Common Divisior

We found the divisors of 708, 969, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 969, 306 is 3.

Therefore, GCD of numbers 708, 969, 306 is 3

Given Input Data is 708, 969, 306

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 969 is 3 x 17 x 19

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(708, 969) = 228684

GCD(708, 969) = ( 708 x 969 ) / 228684

GCD(708, 969) = 686052 / 228684

GCD(708, 969) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 306

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

LCM(3, 306) = 306

GCD(3, 306) = ( 3 x 306 ) / 306

GCD(3, 306) = 918 / 306

GCD(3, 306) = 3

GCD of 708, 969, 306 is 3

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1. What is the GCD of 708, 969, 306?

GCD of 708, 969, 306 is 3

2. Where do I get the detailed procedure to find GCD of 708, 969, 306?

You can find a detailed procedure to find GCD of 708, 969, 306 on our page.

3. How to find GCD of 708, 969, 306 on a calculator?

You can find the GCD of 708, 969, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.