GCD of 271, 730, 13, 220 Calculator

Given Input numbers are 271, 730, 13, 220

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 13

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

1, 13

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 271, 730, 13, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 730, 13, 220 is 1.

Therefore, GCD of numbers 271, 730, 13, 220 is 1

Given Input Data is 271, 730, 13, 220

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

Prime Factorization of 271 is 271

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 13 is 13

Prime Factorization of 220 is 2 x 2 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(271, 730) = 197830

GCD(271, 730) = ( 271 x 730 ) / 197830

GCD(271, 730) = 197830 / 197830

GCD(271, 730) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 271, 730, 13, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 175, 62, 507
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• GCD of 521, 889, 59, 356

1. What is the GCD of 271, 730, 13, 220?

GCD of 271, 730, 13, 220 is 1

2. Where do I get the detailed procedure to find GCD of 271, 730, 13, 220?

You can find a detailed procedure to find GCD of 271, 730, 13, 220 on our page.

3. How to find GCD of 271, 730, 13, 220 on a calculator?

You can find the GCD of 271, 730, 13, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.