GCD of 497, 286, 589, 196 Calculator

Given Input numbers are 497, 286, 589, 196

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

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

Greatest Common Divisior

We found the divisors of 497, 286, 589, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 286, 589, 196 is 1.

Therefore, GCD of numbers 497, 286, 589, 196 is 1

Given Input Data is 497, 286, 589, 196

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 589 is 19 x 31

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

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(497, 286) = 142142

GCD(497, 286) = ( 497 x 286 ) / 142142

GCD(497, 286) = 142142 / 142142

GCD(497, 286) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 497, 286, 589, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 956, 682, 332
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• GCD of 197, 873, 443, 407

1. What is the GCD of 497, 286, 589, 196?

GCD of 497, 286, 589, 196 is 1

2. Where do I get the detailed procedure to find GCD of 497, 286, 589, 196?

You can find a detailed procedure to find GCD of 497, 286, 589, 196 on our page.

3. How to find GCD of 497, 286, 589, 196 on a calculator?

You can find the GCD of 497, 286, 589, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.