GCD of 493, 899, 47, 372 Calculator

Given Input numbers are 493, 899, 47, 372

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

Divisors of 493

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

1, 17, 29, 493

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 493, 899, 47, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 899, 47, 372 is 1.

Therefore, GCD of numbers 493, 899, 47, 372 is 1

Given Input Data is 493, 899, 47, 372

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 899 is 29 x 31

Prime Factorization of 47 is 47

Prime Factorization of 372 is 2 x 2 x 3 x 31

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(493, 899) = 15283

GCD(493, 899) = ( 493 x 899 ) / 15283

GCD(493, 899) = 443207 / 15283

GCD(493, 899) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 47

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

LCM(29, 47) = 1363

GCD(29, 47) = ( 29 x 47 ) / 1363

GCD(29, 47) = 1363 / 1363

GCD(29, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

GCD of 493, 899, 47, 372 is 1

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• GCD of 985, 903, 85, 283
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1. What is the GCD of 493, 899, 47, 372?

GCD of 493, 899, 47, 372 is 1

2. Where do I get the detailed procedure to find GCD of 493, 899, 47, 372?

You can find a detailed procedure to find GCD of 493, 899, 47, 372 on our page.

3. How to find GCD of 493, 899, 47, 372 on a calculator?

You can find the GCD of 493, 899, 47, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.