GCD of 209, 313, 66, 679 Calculator

Given Input numbers are 209, 313, 66, 679

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

Divisors of 209

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

1, 11, 19, 209

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

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 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 209, 313, 66, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 313, 66, 679 is 1.

Therefore, GCD of numbers 209, 313, 66, 679 is 1

Given Input Data is 209, 313, 66, 679

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 313 is 313

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 679 is 7 x 97

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(209, 313) = 65417

GCD(209, 313) = ( 209 x 313 ) / 65417

GCD(209, 313) = 65417 / 65417

GCD(209, 313) = 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 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 209, 313, 66, 679 is 1

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1. What is the GCD of 209, 313, 66, 679?

GCD of 209, 313, 66, 679 is 1

2. Where do I get the detailed procedure to find GCD of 209, 313, 66, 679?

You can find a detailed procedure to find GCD of 209, 313, 66, 679 on our page.

3. How to find GCD of 209, 313, 66, 679 on a calculator?

You can find the GCD of 209, 313, 66, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.