GCD of 755, 330, 31, 298 Calculator

Given Input numbers are 755, 330, 31, 298

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 755, 330, 31, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 330, 31, 298 is 1.

Therefore, GCD of numbers 755, 330, 31, 298 is 1

Given Input Data is 755, 330, 31, 298

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 31 is 31

Prime Factorization of 298 is 2 x 149

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(755, 330) = 49830

GCD(755, 330) = ( 755 x 330 ) / 49830

GCD(755, 330) = 249150 / 49830

GCD(755, 330) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 31

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

LCM(5, 31) = 155

GCD(5, 31) = ( 5 x 31 ) / 155

GCD(5, 31) = 155 / 155

GCD(5, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 755, 330, 31, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 569, 35, 792
• GCD of 637, 319, 29, 860
• GCD of 248, 405, 66, 299
• GCD of 879, 926, 48, 474
• GCD of 660, 715, 32, 354

1. What is the GCD of 755, 330, 31, 298?

GCD of 755, 330, 31, 298 is 1

2. Where do I get the detailed procedure to find GCD of 755, 330, 31, 298?

You can find a detailed procedure to find GCD of 755, 330, 31, 298 on our page.

3. How to find GCD of 755, 330, 31, 298 on a calculator?

You can find the GCD of 755, 330, 31, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.