GCD of 306, 980, 334 Calculator

Given Input numbers are 306, 980, 334

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 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 306, 980, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 980, 334 is 2.

Therefore, GCD of numbers 306, 980, 334 is 2

Given Input Data is 306, 980, 334

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 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 334 is 2 x 167

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, 980) = 149940

GCD(306, 980) = ( 306 x 980 ) / 149940

GCD(306, 980) = 299880 / 149940

GCD(306, 980) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

GCD of 306, 980, 334 is 2

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1. What is the GCD of 306, 980, 334?

GCD of 306, 980, 334 is 2

2. Where do I get the detailed procedure to find GCD of 306, 980, 334?

You can find a detailed procedure to find GCD of 306, 980, 334 on our page.

3. How to find GCD of 306, 980, 334 on a calculator?

You can find the GCD of 306, 980, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.