GCD of 258, 817, 35, 353 Calculator

Given Input numbers are 258, 817, 35, 353

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 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 258, 817, 35, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 817, 35, 353 is 1.

Therefore, GCD of numbers 258, 817, 35, 353 is 1

Given Input Data is 258, 817, 35, 353

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 817 is 19 x 43

Prime Factorization of 35 is 5 x 7

Prime Factorization of 353 is 353

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, 817) = 4902

GCD(258, 817) = ( 258 x 817 ) / 4902

GCD(258, 817) = 210786 / 4902

GCD(258, 817) = 43

Step2:

Here we consider the GCD from the above i.e. 43 as first number and the next as 35

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

LCM(43, 35) = 1505

GCD(43, 35) = ( 43 x 35 ) / 1505

GCD(43, 35) = 1505 / 1505

GCD(43, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 258, 817, 35, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 820, 79, 648
• GCD of 170, 117, 31, 486
• GCD of 493, 393, 54, 946
• GCD of 475, 693, 58, 264
• GCD of 258, 239, 56, 959

1. What is the GCD of 258, 817, 35, 353?

GCD of 258, 817, 35, 353 is 1

2. Where do I get the detailed procedure to find GCD of 258, 817, 35, 353?

You can find a detailed procedure to find GCD of 258, 817, 35, 353 on our page.

3. How to find GCD of 258, 817, 35, 353 on a calculator?

You can find the GCD of 258, 817, 35, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.