GCD of 736, 255, 55, 319 Calculator

Given Input numbers are 736, 255, 55, 319

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 736, 255, 55, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 255, 55, 319 is 1.

Therefore, GCD of numbers 736, 255, 55, 319 is 1

Given Input Data is 736, 255, 55, 319

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 55 is 5 x 11

Prime Factorization of 319 is 11 x 29

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(736, 255) = 187680

GCD(736, 255) = ( 736 x 255 ) / 187680

GCD(736, 255) = 187680 / 187680

GCD(736, 255) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

GCD of 736, 255, 55, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 699, 78, 430
• GCD of 330, 304, 28, 561
• GCD of 709, 387, 52, 435
• GCD of 967, 791, 40, 101
• GCD of 464, 246, 24, 901

1. What is the GCD of 736, 255, 55, 319?

GCD of 736, 255, 55, 319 is 1

2. Where do I get the detailed procedure to find GCD of 736, 255, 55, 319?

You can find a detailed procedure to find GCD of 736, 255, 55, 319 on our page.

3. How to find GCD of 736, 255, 55, 319 on a calculator?

You can find the GCD of 736, 255, 55, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.