GCD of 110, 301, 330, 103 Calculator

Given Input numbers are 110, 301, 330, 103

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

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

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 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 110, 301, 330, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 301, 330, 103 is 1.

Therefore, GCD of numbers 110, 301, 330, 103 is 1

Given Input Data is 110, 301, 330, 103

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 301 is 7 x 43

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

Prime Factorization of 103 is 103

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(110, 301) = 33110

GCD(110, 301) = ( 110 x 301 ) / 33110

GCD(110, 301) = 33110 / 33110

GCD(110, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 110, 301, 330, 103 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 690, 264, 989
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• GCD of 484, 292, 110, 607
• GCD of 319, 750, 154, 208

1. What is the GCD of 110, 301, 330, 103?

GCD of 110, 301, 330, 103 is 1

2. Where do I get the detailed procedure to find GCD of 110, 301, 330, 103?

You can find a detailed procedure to find GCD of 110, 301, 330, 103 on our page.

3. How to find GCD of 110, 301, 330, 103 on a calculator?

You can find the GCD of 110, 301, 330, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.