GCD of 302, 626, 510, 298 Calculator

Given Input numbers are 302, 626, 510, 298

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 298

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

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 302, 626, 510, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 626, 510, 298 is 2.

Therefore, GCD of numbers 302, 626, 510, 298 is 2

Given Input Data is 302, 626, 510, 298

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 626 is 2 x 313

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 298 is 2 x 149

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(302, 626) = 94526

GCD(302, 626) = ( 302 x 626 ) / 94526

GCD(302, 626) = 189052 / 94526

GCD(302, 626) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 510

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

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

GCD(2, 510) = 1020 / 510

GCD(2, 510) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 298

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

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

GCD(2, 298) = 596 / 298

GCD(2, 298) = 2

GCD of 302, 626, 510, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 555, 330, 557
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• GCD of 775, 455, 268, 327

1. What is the GCD of 302, 626, 510, 298?

GCD of 302, 626, 510, 298 is 2

2. Where do I get the detailed procedure to find GCD of 302, 626, 510, 298?

You can find a detailed procedure to find GCD of 302, 626, 510, 298 on our page.

3. How to find GCD of 302, 626, 510, 298 on a calculator?

You can find the GCD of 302, 626, 510, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.