GCD of 752, 256, 50, 807 Calculator

Given Input numbers are 752, 256, 50, 807

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 752, 256, 50, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 256, 50, 807 is 1.

Therefore, GCD of numbers 752, 256, 50, 807 is 1

Given Input Data is 752, 256, 50, 807

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 807 is 3 x 269

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(752, 256) = 12032

GCD(752, 256) = ( 752 x 256 ) / 12032

GCD(752, 256) = 192512 / 12032

GCD(752, 256) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 50

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

LCM(16, 50) = 400

GCD(16, 50) = ( 16 x 50 ) / 400

GCD(16, 50) = 800 / 400

GCD(16, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 807

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

LCM(2, 807) = 1614

GCD(2, 807) = ( 2 x 807 ) / 1614

GCD(2, 807) = 1614 / 1614

GCD(2, 807) = 1

GCD of 752, 256, 50, 807 is 1

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1. What is the GCD of 752, 256, 50, 807?

GCD of 752, 256, 50, 807 is 1

2. Where do I get the detailed procedure to find GCD of 752, 256, 50, 807?

You can find a detailed procedure to find GCD of 752, 256, 50, 807 on our page.

3. How to find GCD of 752, 256, 50, 807 on a calculator?

You can find the GCD of 752, 256, 50, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.