GCD of 304, 783, 28, 153 Calculator

Given Input numbers are 304, 783, 28, 153

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 304, 783, 28, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 783, 28, 153 is 1.

Therefore, GCD of numbers 304, 783, 28, 153 is 1

Given Input Data is 304, 783, 28, 153

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 153 is 3 x 3 x 17

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(304, 783) = 238032

GCD(304, 783) = ( 304 x 783 ) / 238032

GCD(304, 783) = 238032 / 238032

GCD(304, 783) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 304, 783, 28, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 702, 37, 637
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• GCD of 655, 214, 58, 391

1. What is the GCD of 304, 783, 28, 153?

GCD of 304, 783, 28, 153 is 1

2. Where do I get the detailed procedure to find GCD of 304, 783, 28, 153?

You can find a detailed procedure to find GCD of 304, 783, 28, 153 on our page.

3. How to find GCD of 304, 783, 28, 153 on a calculator?

You can find the GCD of 304, 783, 28, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.