GCD of 834, 306, 221, 711 Calculator

Given Input numbers are 834, 306, 221, 711

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 221

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

1, 13, 17, 221

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 834, 306, 221, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 306, 221, 711 is 1.

Therefore, GCD of numbers 834, 306, 221, 711 is 1

Given Input Data is 834, 306, 221, 711

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 221 is 13 x 17

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(834, 306) = 42534

GCD(834, 306) = ( 834 x 306 ) / 42534

GCD(834, 306) = 255204 / 42534

GCD(834, 306) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 221

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

LCM(6, 221) = 1326

GCD(6, 221) = ( 6 x 221 ) / 1326

GCD(6, 221) = 1326 / 1326

GCD(6, 221) = 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 834, 306, 221, 711 is 1

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1. What is the GCD of 834, 306, 221, 711?

GCD of 834, 306, 221, 711 is 1

2. Where do I get the detailed procedure to find GCD of 834, 306, 221, 711?

You can find a detailed procedure to find GCD of 834, 306, 221, 711 on our page.

3. How to find GCD of 834, 306, 221, 711 on a calculator?

You can find the GCD of 834, 306, 221, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.