GCD of 659, 447, 159, 561 Calculator

Given Input numbers are 659, 447, 159, 561

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 659, 447, 159, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 447, 159, 561 is 1.

Therefore, GCD of numbers 659, 447, 159, 561 is 1

Given Input Data is 659, 447, 159, 561

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

Prime Factorization of 659 is 659

Prime Factorization of 447 is 3 x 149

Prime Factorization of 159 is 3 x 53

Prime Factorization of 561 is 3 x 11 x 17

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(659, 447) = 294573

GCD(659, 447) = ( 659 x 447 ) / 294573

GCD(659, 447) = 294573 / 294573

GCD(659, 447) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 659, 447, 159, 561 is 1

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1. What is the GCD of 659, 447, 159, 561?

GCD of 659, 447, 159, 561 is 1

2. Where do I get the detailed procedure to find GCD of 659, 447, 159, 561?

You can find a detailed procedure to find GCD of 659, 447, 159, 561 on our page.

3. How to find GCD of 659, 447, 159, 561 on a calculator?

You can find the GCD of 659, 447, 159, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.