GCD of 258, 649, 348, 488 Calculator

Given Input numbers are 258, 649, 348, 488

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 258, 649, 348, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 649, 348, 488 is 1.

Therefore, GCD of numbers 258, 649, 348, 488 is 1

Given Input Data is 258, 649, 348, 488

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 649 is 11 x 59

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 488 is 2 x 2 x 2 x 61

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, 649) = 167442

GCD(258, 649) = ( 258 x 649 ) / 167442

GCD(258, 649) = 167442 / 167442

GCD(258, 649) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 258, 649, 348, 488 is 1

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• GCD of 393, 216, 212, 498
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1. What is the GCD of 258, 649, 348, 488?

GCD of 258, 649, 348, 488 is 1

2. Where do I get the detailed procedure to find GCD of 258, 649, 348, 488?

You can find a detailed procedure to find GCD of 258, 649, 348, 488 on our page.

3. How to find GCD of 258, 649, 348, 488 on a calculator?

You can find the GCD of 258, 649, 348, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.