GCD of 944, 432, 504, 112 Calculator

Given Input numbers are 944, 432, 504, 112

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

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 944, 432, 504, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 432, 504, 112 is 8.

Therefore, GCD of numbers 944, 432, 504, 112 is 8

Given Input Data is 944, 432, 504, 112

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

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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(944, 432) = 25488

GCD(944, 432) = ( 944 x 432 ) / 25488

GCD(944, 432) = 407808 / 25488

GCD(944, 432) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 504

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

LCM(16, 504) = 1008

GCD(16, 504) = ( 16 x 504 ) / 1008

GCD(16, 504) = 8064 / 1008

GCD(16, 504) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 112

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

LCM(8, 112) = 112

GCD(8, 112) = ( 8 x 112 ) / 112

GCD(8, 112) = 896 / 112

GCD(8, 112) = 8

GCD of 944, 432, 504, 112 is 8

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1. What is the GCD of 944, 432, 504, 112?

GCD of 944, 432, 504, 112 is 8

2. Where do I get the detailed procedure to find GCD of 944, 432, 504, 112?

You can find a detailed procedure to find GCD of 944, 432, 504, 112 on our page.

3. How to find GCD of 944, 432, 504, 112 on a calculator?

You can find the GCD of 944, 432, 504, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.