GCD of 362, 500, 98, 298 Calculator

Given Input numbers are 362, 500, 98, 298

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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

Greatest Common Divisior

We found the divisors of 362, 500, 98, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 500, 98, 298 is 2.

Therefore, GCD of numbers 362, 500, 98, 298 is 2

Given Input Data is 362, 500, 98, 298

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 98 is 2 x 7 x 7

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(362, 500) = 90500

GCD(362, 500) = ( 362 x 500 ) / 90500

GCD(362, 500) = 181000 / 90500

GCD(362, 500) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 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 362, 500, 98, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 498, 21, 165
• GCD of 448, 444, 22, 906
• GCD of 334, 185, 45, 806
• GCD of 824, 157, 18, 188
• GCD of 885, 182, 79, 338

1. What is the GCD of 362, 500, 98, 298?

GCD of 362, 500, 98, 298 is 2

2. Where do I get the detailed procedure to find GCD of 362, 500, 98, 298?

You can find a detailed procedure to find GCD of 362, 500, 98, 298 on our page.

3. How to find GCD of 362, 500, 98, 298 on a calculator?

You can find the GCD of 362, 500, 98, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.