GCD of 258, 355, 85, 348 Calculator

Given Input numbers are 258, 355, 85, 348

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 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 258, 355, 85, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 355, 85, 348 is 1.

Therefore, GCD of numbers 258, 355, 85, 348 is 1

Given Input Data is 258, 355, 85, 348

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 355 is 5 x 71

Prime Factorization of 85 is 5 x 17

Prime Factorization of 348 is 2 x 2 x 3 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, 355) = 91590

GCD(258, 355) = ( 258 x 355 ) / 91590

GCD(258, 355) = 91590 / 91590

GCD(258, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 258, 355, 85, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 944, 64, 462
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• GCD of 812, 211, 39, 394
• GCD of 973, 300, 91, 196
• GCD of 984, 748, 57, 648

1. What is the GCD of 258, 355, 85, 348?

GCD of 258, 355, 85, 348 is 1

2. Where do I get the detailed procedure to find GCD of 258, 355, 85, 348?

You can find a detailed procedure to find GCD of 258, 355, 85, 348 on our page.

3. How to find GCD of 258, 355, 85, 348 on a calculator?

You can find the GCD of 258, 355, 85, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.