GCD of 282, 414, 98, 683 Calculator

Given Input numbers are 282, 414, 98, 683

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

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 282, 414, 98, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 414, 98, 683 is 1.

Therefore, GCD of numbers 282, 414, 98, 683 is 1

Given Input Data is 282, 414, 98, 683

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 683 is 683

The above numbers do not have any common prime factor. So GCD is 1

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(282, 414) = 19458

GCD(282, 414) = ( 282 x 414 ) / 19458

GCD(282, 414) = 116748 / 19458

GCD(282, 414) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 98

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

LCM(6, 98) = 294

GCD(6, 98) = ( 6 x 98 ) / 294

GCD(6, 98) = 588 / 294

GCD(6, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 683

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

LCM(2, 683) = 1366

GCD(2, 683) = ( 2 x 683 ) / 1366

GCD(2, 683) = 1366 / 1366

GCD(2, 683) = 1

GCD of 282, 414, 98, 683 is 1

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1. What is the GCD of 282, 414, 98, 683?

GCD of 282, 414, 98, 683 is 1

2. Where do I get the detailed procedure to find GCD of 282, 414, 98, 683?

You can find a detailed procedure to find GCD of 282, 414, 98, 683 on our page.

3. How to find GCD of 282, 414, 98, 683 on a calculator?

You can find the GCD of 282, 414, 98, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.