GCD of 298, 116, 466, 738 Calculator

Given Input numbers are 298, 116, 466, 738

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 298, 116, 466, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 116, 466, 738 is 2.

Therefore, GCD of numbers 298, 116, 466, 738 is 2

Given Input Data is 298, 116, 466, 738

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 466 is 2 x 233

Prime Factorization of 738 is 2 x 3 x 3 x 41

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, 116) = 17284

GCD(298, 116) = ( 298 x 116 ) / 17284

GCD(298, 116) = 34568 / 17284

GCD(298, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 466

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

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

GCD(2, 466) = 932 / 466

GCD(2, 466) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

GCD of 298, 116, 466, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 247, 519, 150
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• GCD of 976, 669, 507, 432

1. What is the GCD of 298, 116, 466, 738?

GCD of 298, 116, 466, 738 is 2

2. Where do I get the detailed procedure to find GCD of 298, 116, 466, 738?

You can find a detailed procedure to find GCD of 298, 116, 466, 738 on our page.

3. How to find GCD of 298, 116, 466, 738 on a calculator?

You can find the GCD of 298, 116, 466, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.