GCD of 561, 305, 19, 565 Calculator

Given Input numbers are 561, 305, 19, 565

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

Divisors of 561

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

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 561, 305, 19, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 305, 19, 565 is 1.

Therefore, GCD of numbers 561, 305, 19, 565 is 1

Given Input Data is 561, 305, 19, 565

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 305 is 5 x 61

Prime Factorization of 19 is 19

Prime Factorization of 565 is 5 x 113

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(561, 305) = 171105

GCD(561, 305) = ( 561 x 305 ) / 171105

GCD(561, 305) = 171105 / 171105

GCD(561, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 561, 305, 19, 565 is 1

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• GCD of 131, 481, 60, 259
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1. What is the GCD of 561, 305, 19, 565?

GCD of 561, 305, 19, 565 is 1

2. Where do I get the detailed procedure to find GCD of 561, 305, 19, 565?

You can find a detailed procedure to find GCD of 561, 305, 19, 565 on our page.

3. How to find GCD of 561, 305, 19, 565 on a calculator?

You can find the GCD of 561, 305, 19, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.