GCD of 299, 572, 37, 334 Calculator

Given Input numbers are 299, 572, 37, 334

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 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 299, 572, 37, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 572, 37, 334 is 1.

Therefore, GCD of numbers 299, 572, 37, 334 is 1

Given Input Data is 299, 572, 37, 334

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 37 is 37

Prime Factorization of 334 is 2 x 167

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, 572) = 13156

GCD(299, 572) = ( 299 x 572 ) / 13156

GCD(299, 572) = 171028 / 13156

GCD(299, 572) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 37

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

LCM(13, 37) = 481

GCD(13, 37) = ( 13 x 37 ) / 481

GCD(13, 37) = 481 / 481

GCD(13, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 299, 572, 37, 334 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 373, 92, 223
• GCD of 972, 846, 15, 180
• GCD of 203, 724, 98, 269
• GCD of 703, 101, 36, 863
• GCD of 552, 435, 54, 583

1. What is the GCD of 299, 572, 37, 334?

GCD of 299, 572, 37, 334 is 1

2. Where do I get the detailed procedure to find GCD of 299, 572, 37, 334?

You can find a detailed procedure to find GCD of 299, 572, 37, 334 on our page.

3. How to find GCD of 299, 572, 37, 334 on a calculator?

You can find the GCD of 299, 572, 37, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.