GCD of 384, 752, 51, 849 Calculator

Given Input numbers are 384, 752, 51, 849

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

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

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 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 384, 752, 51, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 752, 51, 849 is 1.

Therefore, GCD of numbers 384, 752, 51, 849 is 1

Given Input Data is 384, 752, 51, 849

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 849 is 3 x 283

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(384, 752) = 18048

GCD(384, 752) = ( 384 x 752 ) / 18048

GCD(384, 752) = 288768 / 18048

GCD(384, 752) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 51

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

LCM(16, 51) = 816

GCD(16, 51) = ( 16 x 51 ) / 816

GCD(16, 51) = 816 / 816

GCD(16, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 384, 752, 51, 849 is 1

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1. What is the GCD of 384, 752, 51, 849?

GCD of 384, 752, 51, 849 is 1

2. Where do I get the detailed procedure to find GCD of 384, 752, 51, 849?

You can find a detailed procedure to find GCD of 384, 752, 51, 849 on our page.

3. How to find GCD of 384, 752, 51, 849 on a calculator?

You can find the GCD of 384, 752, 51, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.