GCD of 299, 565, 20, 353 Calculator

Given Input numbers are 299, 565, 20, 353

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 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 299, 565, 20, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 565, 20, 353 is 1.

Therefore, GCD of numbers 299, 565, 20, 353 is 1

Given Input Data is 299, 565, 20, 353

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 565 is 5 x 113

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 353 is 353

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, 565) = 168935

GCD(299, 565) = ( 299 x 565 ) / 168935

GCD(299, 565) = 168935 / 168935

GCD(299, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 299, 565, 20, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 947, 25, 947
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• GCD of 496, 520, 52, 334

1. What is the GCD of 299, 565, 20, 353?

GCD of 299, 565, 20, 353 is 1

2. Where do I get the detailed procedure to find GCD of 299, 565, 20, 353?

You can find a detailed procedure to find GCD of 299, 565, 20, 353 on our page.

3. How to find GCD of 299, 565, 20, 353 on a calculator?

You can find the GCD of 299, 565, 20, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.