GCD of 984, 561, 80, 182 Calculator

Given Input numbers are 984, 561, 80, 182

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 984, 561, 80, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 561, 80, 182 is 1.

Therefore, GCD of numbers 984, 561, 80, 182 is 1

Given Input Data is 984, 561, 80, 182

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 182 is 2 x 7 x 13

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(984, 561) = 184008

GCD(984, 561) = ( 984 x 561 ) / 184008

GCD(984, 561) = 552024 / 184008

GCD(984, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 80

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

LCM(3, 80) = 240

GCD(3, 80) = ( 3 x 80 ) / 240

GCD(3, 80) = 240 / 240

GCD(3, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1

GCD of 984, 561, 80, 182 is 1

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1. What is the GCD of 984, 561, 80, 182?

GCD of 984, 561, 80, 182 is 1

2. Where do I get the detailed procedure to find GCD of 984, 561, 80, 182?

You can find a detailed procedure to find GCD of 984, 561, 80, 182 on our page.

3. How to find GCD of 984, 561, 80, 182 on a calculator?

You can find the GCD of 984, 561, 80, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.