GCD of 561, 188, 48, 418 Calculator

Given Input numbers are 561, 188, 48, 418

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 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 561, 188, 48, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 188, 48, 418 is 1.

Therefore, GCD of numbers 561, 188, 48, 418 is 1

Given Input Data is 561, 188, 48, 418

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 188 is 2 x 2 x 47

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 418 is 2 x 11 x 19

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, 188) = 105468

GCD(561, 188) = ( 561 x 188 ) / 105468

GCD(561, 188) = 105468 / 105468

GCD(561, 188) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 561, 188, 48, 418 is 1

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• GCD of 419, 507, 73, 229
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• GCD of 610, 739, 17, 846

1. What is the GCD of 561, 188, 48, 418?

GCD of 561, 188, 48, 418 is 1

2. Where do I get the detailed procedure to find GCD of 561, 188, 48, 418?

You can find a detailed procedure to find GCD of 561, 188, 48, 418 on our page.

3. How to find GCD of 561, 188, 48, 418 on a calculator?

You can find the GCD of 561, 188, 48, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.