GCD of 161, 559, 23, 105 Calculator

Given Input numbers are 161, 559, 23, 105

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

Divisors of 161

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

1, 7, 23, 161

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 161, 559, 23, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 559, 23, 105 is 1.

Therefore, GCD of numbers 161, 559, 23, 105 is 1

Given Input Data is 161, 559, 23, 105

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

Prime Factorization of 161 is 7 x 23

Prime Factorization of 559 is 13 x 43

Prime Factorization of 23 is 23

Prime Factorization of 105 is 3 x 5 x 7

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(161, 559) = 89999

GCD(161, 559) = ( 161 x 559 ) / 89999

GCD(161, 559) = 89999 / 89999

GCD(161, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 161, 559, 23, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 731, 37, 483
• GCD of 105, 562, 58, 238
• GCD of 558, 770, 27, 870
• GCD of 531, 102, 14, 566
• GCD of 168, 947, 92, 814

1. What is the GCD of 161, 559, 23, 105?

GCD of 161, 559, 23, 105 is 1

2. Where do I get the detailed procedure to find GCD of 161, 559, 23, 105?

You can find a detailed procedure to find GCD of 161, 559, 23, 105 on our page.

3. How to find GCD of 161, 559, 23, 105 on a calculator?

You can find the GCD of 161, 559, 23, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.