GCD of 795, 864, 48, 301 Calculator

Given Input numbers are 795, 864, 48, 301

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

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 795, 864, 48, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 864, 48, 301 is 1.

Therefore, GCD of numbers 795, 864, 48, 301 is 1

Given Input Data is 795, 864, 48, 301

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime Factorization of 301 is 7 x 43

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(795, 864) = 228960

GCD(795, 864) = ( 795 x 864 ) / 228960

GCD(795, 864) = 686880 / 228960

GCD(795, 864) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 48

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

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 301

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

LCM(3, 301) = 903

GCD(3, 301) = ( 3 x 301 ) / 903

GCD(3, 301) = 903 / 903

GCD(3, 301) = 1

GCD of 795, 864, 48, 301 is 1

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1. What is the GCD of 795, 864, 48, 301?

GCD of 795, 864, 48, 301 is 1

2. Where do I get the detailed procedure to find GCD of 795, 864, 48, 301?

You can find a detailed procedure to find GCD of 795, 864, 48, 301 on our page.

3. How to find GCD of 795, 864, 48, 301 on a calculator?

You can find the GCD of 795, 864, 48, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.