GCD of 105, 269, 66, 330 Calculator

Given Input numbers are 105, 269, 66, 330

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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

Greatest Common Divisior

We found the divisors of 105, 269, 66, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 269, 66, 330 is 1.

Therefore, GCD of numbers 105, 269, 66, 330 is 1

Given Input Data is 105, 269, 66, 330

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 269 is 269

Prime Factorization of 66 is 2 x 3 x 11

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

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(105, 269) = 28245

GCD(105, 269) = ( 105 x 269 ) / 28245

GCD(105, 269) = 28245 / 28245

GCD(105, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

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

GCD of 105, 269, 66, 330 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 266, 22, 157
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• GCD of 772, 864, 37, 318
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• GCD of 261, 979, 83, 908

1. What is the GCD of 105, 269, 66, 330?

GCD of 105, 269, 66, 330 is 1

2. Where do I get the detailed procedure to find GCD of 105, 269, 66, 330?

You can find a detailed procedure to find GCD of 105, 269, 66, 330 on our page.

3. How to find GCD of 105, 269, 66, 330 on a calculator?

You can find the GCD of 105, 269, 66, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.