GCD of 399, 758, 16, 492 Calculator

Given Input numbers are 399, 758, 16, 492

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 399, 758, 16, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 758, 16, 492 is 1.

Therefore, GCD of numbers 399, 758, 16, 492 is 1

Given Input Data is 399, 758, 16, 492

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 758 is 2 x 379

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(399, 758) = 302442

GCD(399, 758) = ( 399 x 758 ) / 302442

GCD(399, 758) = 302442 / 302442

GCD(399, 758) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 399, 758, 16, 492 is 1

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1. What is the GCD of 399, 758, 16, 492?

GCD of 399, 758, 16, 492 is 1

2. Where do I get the detailed procedure to find GCD of 399, 758, 16, 492?

You can find a detailed procedure to find GCD of 399, 758, 16, 492 on our page.

3. How to find GCD of 399, 758, 16, 492 on a calculator?

You can find the GCD of 399, 758, 16, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.