GCD of 440, 196, 282, 249 Calculator

Given Input numbers are 440, 196, 282, 249

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 440, 196, 282, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 196, 282, 249 is 1.

Therefore, GCD of numbers 440, 196, 282, 249 is 1

Given Input Data is 440, 196, 282, 249

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 249 is 3 x 83

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(440, 196) = 21560

GCD(440, 196) = ( 440 x 196 ) / 21560

GCD(440, 196) = 86240 / 21560

GCD(440, 196) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 282

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

LCM(4, 282) = 564

GCD(4, 282) = ( 4 x 282 ) / 564

GCD(4, 282) = 1128 / 564

GCD(4, 282) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 249

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

LCM(2, 249) = 498

GCD(2, 249) = ( 2 x 249 ) / 498

GCD(2, 249) = 498 / 498

GCD(2, 249) = 1

GCD of 440, 196, 282, 249 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 887, 145, 765
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• GCD of 407, 695, 189, 482

1. What is the GCD of 440, 196, 282, 249?

GCD of 440, 196, 282, 249 is 1

2. Where do I get the detailed procedure to find GCD of 440, 196, 282, 249?

You can find a detailed procedure to find GCD of 440, 196, 282, 249 on our page.

3. How to find GCD of 440, 196, 282, 249 on a calculator?

You can find the GCD of 440, 196, 282, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.