GCD of 302, 501, 13, 893 Calculator

Given Input numbers are 302, 501, 13, 893

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Greatest Common Divisior

We found the divisors of 302, 501, 13, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 501, 13, 893 is 1.

Therefore, GCD of numbers 302, 501, 13, 893 is 1

Given Input Data is 302, 501, 13, 893

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 501 is 3 x 167

Prime Factorization of 13 is 13

Prime Factorization of 893 is 19 x 47

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(302, 501) = 151302

GCD(302, 501) = ( 302 x 501 ) / 151302

GCD(302, 501) = 151302 / 151302

GCD(302, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

GCD of 302, 501, 13, 893 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 247, 34, 471
• GCD of 338, 896, 38, 111
• GCD of 796, 208, 91, 542
• GCD of 755, 608, 19, 868
• GCD of 784, 389, 34, 524

1. What is the GCD of 302, 501, 13, 893?

GCD of 302, 501, 13, 893 is 1

2. Where do I get the detailed procedure to find GCD of 302, 501, 13, 893?

You can find a detailed procedure to find GCD of 302, 501, 13, 893 on our page.

3. How to find GCD of 302, 501, 13, 893 on a calculator?

You can find the GCD of 302, 501, 13, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.