GCD of 50, 996, 736, 944 Calculator

Given Input numbers are 50, 996, 736, 944

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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

Greatest Common Divisior

We found the divisors of 50, 996, 736, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 996, 736, 944 is 2.

Therefore, GCD of numbers 50, 996, 736, 944 is 2

Given Input Data is 50, 996, 736, 944

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(50, 996) = 24900

GCD(50, 996) = ( 50 x 996 ) / 24900

GCD(50, 996) = 49800 / 24900

GCD(50, 996) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 944

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

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

GCD(2, 944) = 1888 / 944

GCD(2, 944) = 2

GCD of 50, 996, 736, 944 is 2

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1. What is the GCD of 50, 996, 736, 944?

GCD of 50, 996, 736, 944 is 2

2. Where do I get the detailed procedure to find GCD of 50, 996, 736, 944?

You can find a detailed procedure to find GCD of 50, 996, 736, 944 on our page.

3. How to find GCD of 50, 996, 736, 944 on a calculator?

You can find the GCD of 50, 996, 736, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.