GCD of 794, 768, 48, 359 Calculator

Given Input numbers are 794, 768, 48, 359

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

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 794, 768, 48, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 768, 48, 359 is 1.

Therefore, GCD of numbers 794, 768, 48, 359 is 1

Given Input Data is 794, 768, 48, 359

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 359 is 359

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(794, 768) = 304896

GCD(794, 768) = ( 794 x 768 ) / 304896

GCD(794, 768) = 609792 / 304896

GCD(794, 768) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 359

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

LCM(2, 359) = 718

GCD(2, 359) = ( 2 x 359 ) / 718

GCD(2, 359) = 718 / 718

GCD(2, 359) = 1

GCD of 794, 768, 48, 359 is 1

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1. What is the GCD of 794, 768, 48, 359?

GCD of 794, 768, 48, 359 is 1

2. Where do I get the detailed procedure to find GCD of 794, 768, 48, 359?

You can find a detailed procedure to find GCD of 794, 768, 48, 359 on our page.

3. How to find GCD of 794, 768, 48, 359 on a calculator?

You can find the GCD of 794, 768, 48, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.