GCD of 820, 105, 13, 266 Calculator

Given Input numbers are 820, 105, 13, 266

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 820, 105, 13, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 105, 13, 266 is 1.

Therefore, GCD of numbers 820, 105, 13, 266 is 1

Given Input Data is 820, 105, 13, 266

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 13 is 13

Prime Factorization of 266 is 2 x 7 x 19

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(820, 105) = 17220

GCD(820, 105) = ( 820 x 105 ) / 17220

GCD(820, 105) = 86100 / 17220

GCD(820, 105) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 13

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

LCM(5, 13) = 65

GCD(5, 13) = ( 5 x 13 ) / 65

GCD(5, 13) = 65 / 65

GCD(5, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

GCD of 820, 105, 13, 266 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 410, 83, 667
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• GCD of 285, 454, 11, 513
• GCD of 764, 284, 33, 777

1. What is the GCD of 820, 105, 13, 266?

GCD of 820, 105, 13, 266 is 1

2. Where do I get the detailed procedure to find GCD of 820, 105, 13, 266?

You can find a detailed procedure to find GCD of 820, 105, 13, 266 on our page.

3. How to find GCD of 820, 105, 13, 266 on a calculator?

You can find the GCD of 820, 105, 13, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.