GCD of 221, 259, 47, 711 Calculator

Given Input numbers are 221, 259, 47, 711

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

Divisors of 221

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

1, 13, 17, 221

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 221, 259, 47, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 259, 47, 711 is 1.

Therefore, GCD of numbers 221, 259, 47, 711 is 1

Given Input Data is 221, 259, 47, 711

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 259 is 7 x 37

Prime Factorization of 47 is 47

Prime Factorization of 711 is 3 x 3 x 79

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(221, 259) = 57239

GCD(221, 259) = ( 221 x 259 ) / 57239

GCD(221, 259) = 57239 / 57239

GCD(221, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 711

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

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

GCD(1, 711) = 711 / 711

GCD(1, 711) = 1

GCD of 221, 259, 47, 711 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 194, 93, 956
• GCD of 234, 263, 57, 840
• GCD of 252, 464, 49, 172
• GCD of 600, 559, 87, 110
• GCD of 129, 119, 94, 539

1. What is the GCD of 221, 259, 47, 711?

GCD of 221, 259, 47, 711 is 1

2. Where do I get the detailed procedure to find GCD of 221, 259, 47, 711?

You can find a detailed procedure to find GCD of 221, 259, 47, 711 on our page.

3. How to find GCD of 221, 259, 47, 711 on a calculator?

You can find the GCD of 221, 259, 47, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.