GCD of 393, 514, 302, 362 Calculator

Given Input numbers are 393, 514, 302, 362

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 302

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

1, 2, 151, 302

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 393, 514, 302, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 514, 302, 362 is 1.

Therefore, GCD of numbers 393, 514, 302, 362 is 1

Given Input Data is 393, 514, 302, 362

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 514 is 2 x 257

Prime Factorization of 302 is 2 x 151

Prime Factorization of 362 is 2 x 181

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(393, 514) = 202002

GCD(393, 514) = ( 393 x 514 ) / 202002

GCD(393, 514) = 202002 / 202002

GCD(393, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 393, 514, 302, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 660, 885, 574
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1. What is the GCD of 393, 514, 302, 362?

GCD of 393, 514, 302, 362 is 1

2. Where do I get the detailed procedure to find GCD of 393, 514, 302, 362?

You can find a detailed procedure to find GCD of 393, 514, 302, 362 on our page.

3. How to find GCD of 393, 514, 302, 362 on a calculator?

You can find the GCD of 393, 514, 302, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.