GCD of 296, 619, 27, 984 Calculator

Given Input numbers are 296, 619, 27, 984

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 619

List of positive integer divisors of 619 that divides 619 without a remainder.

1, 619

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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

Greatest Common Divisior

We found the divisors of 296, 619, 27, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 619, 27, 984 is 1.

Therefore, GCD of numbers 296, 619, 27, 984 is 1

Given Input Data is 296, 619, 27, 984

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 619 is 619

Prime Factorization of 27 is 3 x 3 x 3

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

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(296, 619) = 183224

GCD(296, 619) = ( 296 x 619 ) / 183224

GCD(296, 619) = 183224 / 183224

GCD(296, 619) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 296, 619, 27, 984 is 1

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1. What is the GCD of 296, 619, 27, 984?

GCD of 296, 619, 27, 984 is 1

2. Where do I get the detailed procedure to find GCD of 296, 619, 27, 984?

You can find a detailed procedure to find GCD of 296, 619, 27, 984 on our page.

3. How to find GCD of 296, 619, 27, 984 on a calculator?

You can find the GCD of 296, 619, 27, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.