GCD of 260, 871, 22, 330 Calculator

Given Input numbers are 260, 871, 22, 330

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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 260, 871, 22, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 871, 22, 330 is 1.

Therefore, GCD of numbers 260, 871, 22, 330 is 1

Given Input Data is 260, 871, 22, 330

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 871 is 13 x 67

Prime Factorization of 22 is 2 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(260, 871) = 17420

GCD(260, 871) = ( 260 x 871 ) / 17420

GCD(260, 871) = 226460 / 17420

GCD(260, 871) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 22

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

LCM(13, 22) = 286

GCD(13, 22) = ( 13 x 22 ) / 286

GCD(13, 22) = 286 / 286

GCD(13, 22) = 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 260, 871, 22, 330 is 1

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• GCD of 102, 925, 68, 640
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1. What is the GCD of 260, 871, 22, 330?

GCD of 260, 871, 22, 330 is 1

2. Where do I get the detailed procedure to find GCD of 260, 871, 22, 330?

You can find a detailed procedure to find GCD of 260, 871, 22, 330 on our page.

3. How to find GCD of 260, 871, 22, 330 on a calculator?

You can find the GCD of 260, 871, 22, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.