GCD of 665, 446, 209, 488 Calculator

Given Input numbers are 665, 446, 209, 488

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

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 665, 446, 209, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 665, 446, 209, 488 is 1.

Therefore, GCD of numbers 665, 446, 209, 488 is 1

Given Input Data is 665, 446, 209, 488

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

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 446 is 2 x 223

Prime Factorization of 209 is 11 x 19

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(665, 446) = 296590

GCD(665, 446) = ( 665 x 446 ) / 296590

GCD(665, 446) = 296590 / 296590

GCD(665, 446) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 665, 446, 209, 488 is 1

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1. What is the GCD of 665, 446, 209, 488?

GCD of 665, 446, 209, 488 is 1

2. Where do I get the detailed procedure to find GCD of 665, 446, 209, 488?

You can find a detailed procedure to find GCD of 665, 446, 209, 488 on our page.

3. How to find GCD of 665, 446, 209, 488 on a calculator?

You can find the GCD of 665, 446, 209, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.