GCD of 174, 474, 72, 233 Calculator

Given Input numbers are 174, 474, 72, 233

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Greatest Common Divisior

We found the divisors of 174, 474, 72, 233 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 474, 72, 233 is 1.

Therefore, GCD of numbers 174, 474, 72, 233 is 1

Given Input Data is 174, 474, 72, 233

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 233 is 233

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(174, 474) = 13746

GCD(174, 474) = ( 174 x 474 ) / 13746

GCD(174, 474) = 82476 / 13746

GCD(174, 474) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 72

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

LCM(6, 72) = 72

GCD(6, 72) = ( 6 x 72 ) / 72

GCD(6, 72) = 432 / 72

GCD(6, 72) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 233

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

LCM(6, 233) = 1398

GCD(6, 233) = ( 6 x 233 ) / 1398

GCD(6, 233) = 1398 / 1398

GCD(6, 233) = 1

GCD of 174, 474, 72, 233 is 1

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• GCD of 934, 178, 26, 462
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• GCD of 587, 769, 43, 592

1. What is the GCD of 174, 474, 72, 233?

GCD of 174, 474, 72, 233 is 1

2. Where do I get the detailed procedure to find GCD of 174, 474, 72, 233?

You can find a detailed procedure to find GCD of 174, 474, 72, 233 on our page.

3. How to find GCD of 174, 474, 72, 233 on a calculator?

You can find the GCD of 174, 474, 72, 233 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.