GCD of 323, 788, 16, 758 Calculator

Given Input numbers are 323, 788, 16, 758

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 758

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

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 323, 788, 16, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 788, 16, 758 is 1.

Therefore, GCD of numbers 323, 788, 16, 758 is 1

Given Input Data is 323, 788, 16, 758

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 788 is 2 x 2 x 197

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

Prime Factorization of 758 is 2 x 379

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(323, 788) = 254524

GCD(323, 788) = ( 323 x 788 ) / 254524

GCD(323, 788) = 254524 / 254524

GCD(323, 788) = 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 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 323, 788, 16, 758 is 1

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1. What is the GCD of 323, 788, 16, 758?

GCD of 323, 788, 16, 758 is 1

2. Where do I get the detailed procedure to find GCD of 323, 788, 16, 758?

You can find a detailed procedure to find GCD of 323, 788, 16, 758 on our page.

3. How to find GCD of 323, 788, 16, 758 on a calculator?

You can find the GCD of 323, 788, 16, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.