GCD of 282, 196, 40, 897 Calculator

Given Input numbers are 282, 196, 40, 897

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 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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 282, 196, 40, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 196, 40, 897 is 1.

Therefore, GCD of numbers 282, 196, 40, 897 is 1

Given Input Data is 282, 196, 40, 897

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 196 is 2 x 2 x 7 x 7

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 897 is 3 x 13 x 23

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, 196) = 27636

GCD(282, 196) = ( 282 x 196 ) / 27636

GCD(282, 196) = 55272 / 27636

GCD(282, 196) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 897

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

LCM(2, 897) = 1794

GCD(2, 897) = ( 2 x 897 ) / 1794

GCD(2, 897) = 1794 / 1794

GCD(2, 897) = 1

GCD of 282, 196, 40, 897 is 1

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1. What is the GCD of 282, 196, 40, 897?

GCD of 282, 196, 40, 897 is 1

2. Where do I get the detailed procedure to find GCD of 282, 196, 40, 897?

You can find a detailed procedure to find GCD of 282, 196, 40, 897 on our page.

3. How to find GCD of 282, 196, 40, 897 on a calculator?

You can find the GCD of 282, 196, 40, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.