GCD of 298, 470, 330, 986 Calculator

Given Input numbers are 298, 470, 330, 986

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 298, 470, 330, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 470, 330, 986 is 2.

Therefore, GCD of numbers 298, 470, 330, 986 is 2

Given Input Data is 298, 470, 330, 986

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 986 is 2 x 17 x 29

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(298, 470) = 70030

GCD(298, 470) = ( 298 x 470 ) / 70030

GCD(298, 470) = 140060 / 70030

GCD(298, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 330

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

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

GCD(2, 330) = 660 / 330

GCD(2, 330) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

GCD of 298, 470, 330, 986 is 2

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1. What is the GCD of 298, 470, 330, 986?

GCD of 298, 470, 330, 986 is 2

2. Where do I get the detailed procedure to find GCD of 298, 470, 330, 986?

You can find a detailed procedure to find GCD of 298, 470, 330, 986 on our page.

3. How to find GCD of 298, 470, 330, 986 on a calculator?

You can find the GCD of 298, 470, 330, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.