GCD of 396, 401, 74, 238 Calculator

Given Input numbers are 396, 401, 74, 238

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 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 238

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

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

Greatest Common Divisior

We found the divisors of 396, 401, 74, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 401, 74, 238 is 1.

Therefore, GCD of numbers 396, 401, 74, 238 is 1

Given Input Data is 396, 401, 74, 238

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 401 is 401

Prime Factorization of 74 is 2 x 37

Prime Factorization of 238 is 2 x 7 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, 401) = 158796

GCD(396, 401) = ( 396 x 401 ) / 158796

GCD(396, 401) = 158796 / 158796

GCD(396, 401) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 396, 401, 74, 238 is 1

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• GCD of 397, 325, 88, 774
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1. What is the GCD of 396, 401, 74, 238?

GCD of 396, 401, 74, 238 is 1

2. Where do I get the detailed procedure to find GCD of 396, 401, 74, 238?

You can find a detailed procedure to find GCD of 396, 401, 74, 238 on our page.

3. How to find GCD of 396, 401, 74, 238 on a calculator?

You can find the GCD of 396, 401, 74, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.