GCD of 221, 334, 66, 342 Calculator

Given Input numbers are 221, 334, 66, 342

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

Divisors of 221

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

1, 13, 17, 221

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 221, 334, 66, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 334, 66, 342 is 1.

Therefore, GCD of numbers 221, 334, 66, 342 is 1

Given Input Data is 221, 334, 66, 342

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 334 is 2 x 167

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(221, 334) = 73814

GCD(221, 334) = ( 221 x 334 ) / 73814

GCD(221, 334) = 73814 / 73814

GCD(221, 334) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 221, 334, 66, 342 is 1

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1. What is the GCD of 221, 334, 66, 342?

GCD of 221, 334, 66, 342 is 1

2. Where do I get the detailed procedure to find GCD of 221, 334, 66, 342?

You can find a detailed procedure to find GCD of 221, 334, 66, 342 on our page.

3. How to find GCD of 221, 334, 66, 342 on a calculator?

You can find the GCD of 221, 334, 66, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.