GCD of 258, 741, 39, 718 Calculator

Given Input numbers are 258, 741, 39, 718

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 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 258, 741, 39, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 741, 39, 718 is 1.

Therefore, GCD of numbers 258, 741, 39, 718 is 1

Given Input Data is 258, 741, 39, 718

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 741 is 3 x 13 x 19

Prime Factorization of 39 is 3 x 13

Prime Factorization of 718 is 2 x 359

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, 741) = 63726

GCD(258, 741) = ( 258 x 741 ) / 63726

GCD(258, 741) = 191178 / 63726

GCD(258, 741) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 39

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

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

GCD(3, 39) = 117 / 39

GCD(3, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 718

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

LCM(3, 718) = 2154

GCD(3, 718) = ( 3 x 718 ) / 2154

GCD(3, 718) = 2154 / 2154

GCD(3, 718) = 1

GCD of 258, 741, 39, 718 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 759, 15, 717
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• GCD of 250, 501, 99, 913

1. What is the GCD of 258, 741, 39, 718?

GCD of 258, 741, 39, 718 is 1

2. Where do I get the detailed procedure to find GCD of 258, 741, 39, 718?

You can find a detailed procedure to find GCD of 258, 741, 39, 718 on our page.

3. How to find GCD of 258, 741, 39, 718 on a calculator?

You can find the GCD of 258, 741, 39, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.