GCD of 211, 771, 728, 709 Calculator

Given Input numbers are 211, 771, 728, 709

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

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 211, 771, 728, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 211, 771, 728, 709 is 1.

Therefore, GCD of numbers 211, 771, 728, 709 is 1

Given Input Data is 211, 771, 728, 709

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

Prime Factorization of 211 is 211

Prime Factorization of 771 is 3 x 257

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 709 is 709

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(211, 771) = 162681

GCD(211, 771) = ( 211 x 771 ) / 162681

GCD(211, 771) = 162681 / 162681

GCD(211, 771) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 211, 771, 728, 709 is 1

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1. What is the GCD of 211, 771, 728, 709?

GCD of 211, 771, 728, 709 is 1

2. Where do I get the detailed procedure to find GCD of 211, 771, 728, 709?

You can find a detailed procedure to find GCD of 211, 771, 728, 709 on our page.

3. How to find GCD of 211, 771, 728, 709 on a calculator?

You can find the GCD of 211, 771, 728, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.