GCD of 660, 399, 311, 213 Calculator

Given Input numbers are 660, 399, 311, 213

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 311

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

1, 311

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 660, 399, 311, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 399, 311, 213 is 1.

Therefore, GCD of numbers 660, 399, 311, 213 is 1

Given Input Data is 660, 399, 311, 213

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 311 is 311

Prime Factorization of 213 is 3 x 71

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(660, 399) = 87780

GCD(660, 399) = ( 660 x 399 ) / 87780

GCD(660, 399) = 263340 / 87780

GCD(660, 399) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 311

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

LCM(3, 311) = 933

GCD(3, 311) = ( 3 x 311 ) / 933

GCD(3, 311) = 933 / 933

GCD(3, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 660, 399, 311, 213 is 1

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1. What is the GCD of 660, 399, 311, 213?

GCD of 660, 399, 311, 213 is 1

2. Where do I get the detailed procedure to find GCD of 660, 399, 311, 213?

You can find a detailed procedure to find GCD of 660, 399, 311, 213 on our page.

3. How to find GCD of 660, 399, 311, 213 on a calculator?

You can find the GCD of 660, 399, 311, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.