GCD of 142, 413, 28, 561 Calculator

Given Input numbers are 142, 413, 28, 561

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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 142, 413, 28, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 413, 28, 561 is 1.

Therefore, GCD of numbers 142, 413, 28, 561 is 1

Given Input Data is 142, 413, 28, 561

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 413 is 7 x 59

Prime Factorization of 28 is 2 x 2 x 7

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(142, 413) = 58646

GCD(142, 413) = ( 142 x 413 ) / 58646

GCD(142, 413) = 58646 / 58646

GCD(142, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 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 142, 413, 28, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 450, 92, 284
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• GCD of 905, 297, 56, 405

1. What is the GCD of 142, 413, 28, 561?

GCD of 142, 413, 28, 561 is 1

2. Where do I get the detailed procedure to find GCD of 142, 413, 28, 561?

You can find a detailed procedure to find GCD of 142, 413, 28, 561 on our page.

3. How to find GCD of 142, 413, 28, 561 on a calculator?

You can find the GCD of 142, 413, 28, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.