GCD of 98, 298, 484, 444 Calculator

Given Input numbers are 98, 298, 484, 444

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 298

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

1, 2, 149, 298

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 98, 298, 484, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 298, 484, 444 is 2.

Therefore, GCD of numbers 98, 298, 484, 444 is 2

Given Input Data is 98, 298, 484, 444

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 298 is 2 x 149

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 444 is 2 x 2 x 3 x 37

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(98, 298) = 14602

GCD(98, 298) = ( 98 x 298 ) / 14602

GCD(98, 298) = 29204 / 14602

GCD(98, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 484

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

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

GCD(2, 484) = 968 / 484

GCD(2, 484) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 444

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

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

GCD(2, 444) = 888 / 444

GCD(2, 444) = 2

GCD of 98, 298, 484, 444 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 292, 710, 509
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• GCD of 48, 302, 499, 820

1. What is the GCD of 98, 298, 484, 444?

GCD of 98, 298, 484, 444 is 2

2. Where do I get the detailed procedure to find GCD of 98, 298, 484, 444?

You can find a detailed procedure to find GCD of 98, 298, 484, 444 on our page.

3. How to find GCD of 98, 298, 484, 444 on a calculator?

You can find the GCD of 98, 298, 484, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.