GCD of 311, 222, 660, 402 Calculator

Given Input numbers are 311, 222, 660, 402

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

Divisors of 311

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

1, 311

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

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 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 311, 222, 660, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 222, 660, 402 is 1.

Therefore, GCD of numbers 311, 222, 660, 402 is 1

Given Input Data is 311, 222, 660, 402

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

Prime Factorization of 311 is 311

Prime Factorization of 222 is 2 x 3 x 37

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

Prime Factorization of 402 is 2 x 3 x 67

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(311, 222) = 69042

GCD(311, 222) = ( 311 x 222 ) / 69042

GCD(311, 222) = 69042 / 69042

GCD(311, 222) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 311, 222, 660, 402 is 1

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1. What is the GCD of 311, 222, 660, 402?

GCD of 311, 222, 660, 402 is 1

2. Where do I get the detailed procedure to find GCD of 311, 222, 660, 402?

You can find a detailed procedure to find GCD of 311, 222, 660, 402 on our page.

3. How to find GCD of 311, 222, 660, 402 on a calculator?

You can find the GCD of 311, 222, 660, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.