GCD of 209, 736, 990, 657 Calculator

Given Input numbers are 209, 736, 990, 657

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 209, 736, 990, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 736, 990, 657 is 1.

Therefore, GCD of numbers 209, 736, 990, 657 is 1

Given Input Data is 209, 736, 990, 657

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 657 is 3 x 3 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(209, 736) = 153824

GCD(209, 736) = ( 209 x 736 ) / 153824

GCD(209, 736) = 153824 / 153824

GCD(209, 736) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 209, 736, 990, 657 is 1

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1. What is the GCD of 209, 736, 990, 657?

GCD of 209, 736, 990, 657 is 1

2. Where do I get the detailed procedure to find GCD of 209, 736, 990, 657?

You can find a detailed procedure to find GCD of 209, 736, 990, 657 on our page.

3. How to find GCD of 209, 736, 990, 657 on a calculator?

You can find the GCD of 209, 736, 990, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.