GCD of 494, 282, 98, 684 Calculator

Given Input numbers are 494, 282, 98, 684

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 494, 282, 98, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 282, 98, 684 is 2.

Therefore, GCD of numbers 494, 282, 98, 684 is 2

Given Input Data is 494, 282, 98, 684

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(494, 282) = 69654

GCD(494, 282) = ( 494 x 282 ) / 69654

GCD(494, 282) = 139308 / 69654

GCD(494, 282) = 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 684

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

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

GCD(2, 684) = 1368 / 684

GCD(2, 684) = 2

GCD of 494, 282, 98, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 881, 276, 70, 580
• GCD of 447, 527, 15, 652
• GCD of 347, 600, 39, 285
• GCD of 951, 165, 30, 155
• GCD of 943, 823, 46, 761

1. What is the GCD of 494, 282, 98, 684?

GCD of 494, 282, 98, 684 is 2

2. Where do I get the detailed procedure to find GCD of 494, 282, 98, 684?

You can find a detailed procedure to find GCD of 494, 282, 98, 684 on our page.

3. How to find GCD of 494, 282, 98, 684 on a calculator?

You can find the GCD of 494, 282, 98, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.