GCD of 74, 232, 371, 442 Calculator

Given Input numbers are 74, 232, 371, 442

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

Divisors of 74

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

1, 2, 37, 74

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 74, 232, 371, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 232, 371, 442 is 1.

Therefore, GCD of numbers 74, 232, 371, 442 is 1

Given Input Data is 74, 232, 371, 442

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 371 is 7 x 53

Prime Factorization of 442 is 2 x 13 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(74, 232) = 8584

GCD(74, 232) = ( 74 x 232 ) / 8584

GCD(74, 232) = 17168 / 8584

GCD(74, 232) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 371

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

LCM(2, 371) = 742

GCD(2, 371) = ( 2 x 371 ) / 742

GCD(2, 371) = 742 / 742

GCD(2, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 74, 232, 371, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 410, 279, 233
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• GCD of 35, 291, 617, 928
• GCD of 65, 656, 616, 845

1. What is the GCD of 74, 232, 371, 442?

GCD of 74, 232, 371, 442 is 1

2. Where do I get the detailed procedure to find GCD of 74, 232, 371, 442?

You can find a detailed procedure to find GCD of 74, 232, 371, 442 on our page.

3. How to find GCD of 74, 232, 371, 442 on a calculator?

You can find the GCD of 74, 232, 371, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.