GCD of 258, 786, 368, 493 Calculator

Given Input numbers are 258, 786, 368, 493

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

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 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 493

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

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 258, 786, 368, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 786, 368, 493 is 1.

Therefore, GCD of numbers 258, 786, 368, 493 is 1

Given Input Data is 258, 786, 368, 493

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 493 is 17 x 29

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(258, 786) = 33798

GCD(258, 786) = ( 258 x 786 ) / 33798

GCD(258, 786) = 202788 / 33798

GCD(258, 786) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 368

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

LCM(6, 368) = 1104

GCD(6, 368) = ( 6 x 368 ) / 1104

GCD(6, 368) = 2208 / 1104

GCD(6, 368) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 493

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

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

GCD(2, 493) = 986 / 986

GCD(2, 493) = 1

GCD of 258, 786, 368, 493 is 1

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1. What is the GCD of 258, 786, 368, 493?

GCD of 258, 786, 368, 493 is 1

2. Where do I get the detailed procedure to find GCD of 258, 786, 368, 493?

You can find a detailed procedure to find GCD of 258, 786, 368, 493 on our page.

3. How to find GCD of 258, 786, 368, 493 on a calculator?

You can find the GCD of 258, 786, 368, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.