GCD of 353, 637, 256, 792 Calculator

Given Input numbers are 353, 637, 256, 792

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

Divisors of 353

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

1, 353

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

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 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 353, 637, 256, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 637, 256, 792 is 1.

Therefore, GCD of numbers 353, 637, 256, 792 is 1

Given Input Data is 353, 637, 256, 792

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

Prime Factorization of 353 is 353

Prime Factorization of 637 is 7 x 7 x 13

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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(353, 637) = 224861

GCD(353, 637) = ( 353 x 637 ) / 224861

GCD(353, 637) = 224861 / 224861

GCD(353, 637) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

GCD of 353, 637, 256, 792 is 1

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1. What is the GCD of 353, 637, 256, 792?

GCD of 353, 637, 256, 792 is 1

2. Where do I get the detailed procedure to find GCD of 353, 637, 256, 792?

You can find a detailed procedure to find GCD of 353, 637, 256, 792 on our page.

3. How to find GCD of 353, 637, 256, 792 on a calculator?

You can find the GCD of 353, 637, 256, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.