GCD of 743, 221, 13 Calculator

Given Input numbers are 743, 221, 13

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 13

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

1, 13

Greatest Common Divisior

We found the divisors of 743, 221, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 221, 13 is 1.

Therefore, GCD of numbers 743, 221, 13 is 1

Given Input Data is 743, 221, 13

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

Prime Factorization of 743 is 743

Prime Factorization of 221 is 13 x 17

Prime Factorization of 13 is 13

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(743, 221) = 164203

GCD(743, 221) = ( 743 x 221 ) / 164203

GCD(743, 221) = 164203 / 164203

GCD(743, 221) = 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

GCD of 743, 221, 13 is 1

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• GCD of 736, 179, 10
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1. What is the GCD of 743, 221, 13?

GCD of 743, 221, 13 is 1

2. Where do I get the detailed procedure to find GCD of 743, 221, 13?

You can find a detailed procedure to find GCD of 743, 221, 13 on our page.

3. How to find GCD of 743, 221, 13 on a calculator?

You can find the GCD of 743, 221, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.