GCD of 256, 348, 353, 691 Calculator

Given Input numbers are 256, 348, 353, 691

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

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

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 353

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

1, 353

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 256, 348, 353, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 348, 353, 691 is 1.

Therefore, GCD of numbers 256, 348, 353, 691 is 1

Given Input Data is 256, 348, 353, 691

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

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime Factorization of 353 is 353

Prime Factorization of 691 is 691

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(256, 348) = 22272

GCD(256, 348) = ( 256 x 348 ) / 22272

GCD(256, 348) = 89088 / 22272

GCD(256, 348) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 353

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

LCM(4, 353) = 1412

GCD(4, 353) = ( 4 x 353 ) / 1412

GCD(4, 353) = 1412 / 1412

GCD(4, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 256, 348, 353, 691 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 250, 191, 948
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1. What is the GCD of 256, 348, 353, 691?

GCD of 256, 348, 353, 691 is 1

2. Where do I get the detailed procedure to find GCD of 256, 348, 353, 691?

You can find a detailed procedure to find GCD of 256, 348, 353, 691 on our page.

3. How to find GCD of 256, 348, 353, 691 on a calculator?

You can find the GCD of 256, 348, 353, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.