GCD of 396, 238, 493, 102 Calculator

Given Input numbers are 396, 238, 493, 102

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 396, 238, 493, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 238, 493, 102 is 1.

Therefore, GCD of numbers 396, 238, 493, 102 is 1

Given Input Data is 396, 238, 493, 102

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 493 is 17 x 29

Prime Factorization of 102 is 2 x 3 x 17

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(396, 238) = 47124

GCD(396, 238) = ( 396 x 238 ) / 47124

GCD(396, 238) = 94248 / 47124

GCD(396, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 493

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

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

GCD(2, 493) = 986 / 986

GCD(2, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 396, 238, 493, 102 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 502, 256, 568
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• GCD of 550, 493, 198, 104
• GCD of 445, 442, 517, 341
• GCD of 828, 867, 164, 358

1. What is the GCD of 396, 238, 493, 102?

GCD of 396, 238, 493, 102 is 1

2. Where do I get the detailed procedure to find GCD of 396, 238, 493, 102?

You can find a detailed procedure to find GCD of 396, 238, 493, 102 on our page.

3. How to find GCD of 396, 238, 493, 102 on a calculator?

You can find the GCD of 396, 238, 493, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.