GCD of 263, 258, 16, 792 Calculator

Given Input numbers are 263, 258, 16, 792

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

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 263, 258, 16, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 263, 258, 16, 792 is 1.

Therefore, GCD of numbers 263, 258, 16, 792 is 1

Given Input Data is 263, 258, 16, 792

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

Prime Factorization of 263 is 263

Prime Factorization of 258 is 2 x 3 x 43

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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(263, 258) = 67854

GCD(263, 258) = ( 263 x 258 ) / 67854

GCD(263, 258) = 67854 / 67854

GCD(263, 258) = 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 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

GCD of 263, 258, 16, 792 is 1

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1. What is the GCD of 263, 258, 16, 792?

GCD of 263, 258, 16, 792 is 1

2. Where do I get the detailed procedure to find GCD of 263, 258, 16, 792?

You can find a detailed procedure to find GCD of 263, 258, 16, 792 on our page.

3. How to find GCD of 263, 258, 16, 792 on a calculator?

You can find the GCD of 263, 258, 16, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.