GCD of 19, 734, 265, 304 Calculator

Given Input numbers are 19, 734, 265, 304

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

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

Greatest Common Divisior

We found the divisors of 19, 734, 265, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 734, 265, 304 is 1.

Therefore, GCD of numbers 19, 734, 265, 304 is 1

Given Input Data is 19, 734, 265, 304

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

Prime Factorization of 19 is 19

Prime Factorization of 734 is 2 x 367

Prime Factorization of 265 is 5 x 53

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

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(19, 734) = 13946

GCD(19, 734) = ( 19 x 734 ) / 13946

GCD(19, 734) = 13946 / 13946

GCD(19, 734) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 19, 734, 265, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 722, 615, 262
• GCD of 40, 221, 691, 509
• GCD of 93, 320, 974, 286
• GCD of 85, 379, 599, 256
• GCD of 26, 961, 412, 284

1. What is the GCD of 19, 734, 265, 304?

GCD of 19, 734, 265, 304 is 1

2. Where do I get the detailed procedure to find GCD of 19, 734, 265, 304?

You can find a detailed procedure to find GCD of 19, 734, 265, 304 on our page.

3. How to find GCD of 19, 734, 265, 304 on a calculator?

You can find the GCD of 19, 734, 265, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.