GCD of 211, 311, 60, 966 Calculator

Given Input numbers are 211, 311, 60, 966

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 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 211, 311, 60, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 211, 311, 60, 966 is 1.

Therefore, GCD of numbers 211, 311, 60, 966 is 1

Given Input Data is 211, 311, 60, 966

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

Prime Factorization of 211 is 211

Prime Factorization of 311 is 311

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 966 is 2 x 3 x 7 x 23

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, 311) = 65621

GCD(211, 311) = ( 211 x 311 ) / 65621

GCD(211, 311) = 65621 / 65621

GCD(211, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 211, 311, 60, 966 is 1

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1. What is the GCD of 211, 311, 60, 966?

GCD of 211, 311, 60, 966 is 1

2. Where do I get the detailed procedure to find GCD of 211, 311, 60, 966?

You can find a detailed procedure to find GCD of 211, 311, 60, 966 on our page.

3. How to find GCD of 211, 311, 60, 966 on a calculator?

You can find the GCD of 211, 311, 60, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.