GCD of 660, 449, 221, 292 Calculator

Given Input numbers are 660, 449, 221, 292

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 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 221

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

1, 13, 17, 221

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 660, 449, 221, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 449, 221, 292 is 1.

Therefore, GCD of numbers 660, 449, 221, 292 is 1

Given Input Data is 660, 449, 221, 292

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 449 is 449

Prime Factorization of 221 is 13 x 17

Prime Factorization of 292 is 2 x 2 x 73

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, 449) = 296340

GCD(660, 449) = ( 660 x 449 ) / 296340

GCD(660, 449) = 296340 / 296340

GCD(660, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 660, 449, 221, 292 is 1

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1. What is the GCD of 660, 449, 221, 292?

GCD of 660, 449, 221, 292 is 1

2. Where do I get the detailed procedure to find GCD of 660, 449, 221, 292?

You can find a detailed procedure to find GCD of 660, 449, 221, 292 on our page.

3. How to find GCD of 660, 449, 221, 292 on a calculator?

You can find the GCD of 660, 449, 221, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.