GCD of 561, 145, 586, 161 Calculator

Given Input numbers are 561, 145, 586, 161

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 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 561, 145, 586, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 145, 586, 161 is 1.

Therefore, GCD of numbers 561, 145, 586, 161 is 1

Given Input Data is 561, 145, 586, 161

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 145 is 5 x 29

Prime Factorization of 586 is 2 x 293

Prime Factorization of 161 is 7 x 23

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, 145) = 81345

GCD(561, 145) = ( 561 x 145 ) / 81345

GCD(561, 145) = 81345 / 81345

GCD(561, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

GCD of 561, 145, 586, 161 is 1

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1. What is the GCD of 561, 145, 586, 161?

GCD of 561, 145, 586, 161 is 1

2. Where do I get the detailed procedure to find GCD of 561, 145, 586, 161?

You can find a detailed procedure to find GCD of 561, 145, 586, 161 on our page.

3. How to find GCD of 561, 145, 586, 161 on a calculator?

You can find the GCD of 561, 145, 586, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.