GCD of 299, 286, 53, 253 Calculator

Given Input numbers are 299, 286, 53, 253

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

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 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 299, 286, 53, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 286, 53, 253 is 1.

Therefore, GCD of numbers 299, 286, 53, 253 is 1

Given Input Data is 299, 286, 53, 253

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 53 is 53

Prime Factorization of 253 is 11 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(299, 286) = 6578

GCD(299, 286) = ( 299 x 286 ) / 6578

GCD(299, 286) = 85514 / 6578

GCD(299, 286) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 53

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

LCM(13, 53) = 689

GCD(13, 53) = ( 13 x 53 ) / 689

GCD(13, 53) = 689 / 689

GCD(13, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 299, 286, 53, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 280, 74, 616
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• GCD of 587, 442, 65, 688
• GCD of 802, 258, 45, 393
• GCD of 813, 138, 39, 946

1. What is the GCD of 299, 286, 53, 253?

GCD of 299, 286, 53, 253 is 1

2. Where do I get the detailed procedure to find GCD of 299, 286, 53, 253?

You can find a detailed procedure to find GCD of 299, 286, 53, 253 on our page.

3. How to find GCD of 299, 286, 53, 253 on a calculator?

You can find the GCD of 299, 286, 53, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.