GCD of 295, 704, 12, 984 Calculator

Given Input numbers are 295, 704, 12, 984

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

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 295, 704, 12, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 704, 12, 984 is 1.

Therefore, GCD of numbers 295, 704, 12, 984 is 1

Given Input Data is 295, 704, 12, 984

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 12 is 2 x 2 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(295, 704) = 207680

GCD(295, 704) = ( 295 x 704 ) / 207680

GCD(295, 704) = 207680 / 207680

GCD(295, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 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 295, 704, 12, 984 is 1

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1. What is the GCD of 295, 704, 12, 984?

GCD of 295, 704, 12, 984 is 1

2. Where do I get the detailed procedure to find GCD of 295, 704, 12, 984?

You can find a detailed procedure to find GCD of 295, 704, 12, 984 on our page.

3. How to find GCD of 295, 704, 12, 984 on a calculator?

You can find the GCD of 295, 704, 12, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.