GCD of 444, 750, 794, 144 Calculator

Given Input numbers are 444, 750, 794, 144

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 444, 750, 794, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 750, 794, 144 is 2.

Therefore, GCD of numbers 444, 750, 794, 144 is 2

Given Input Data is 444, 750, 794, 144

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 794 is 2 x 397

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(444, 750) = 55500

GCD(444, 750) = ( 444 x 750 ) / 55500

GCD(444, 750) = 333000 / 55500

GCD(444, 750) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 794

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

LCM(6, 794) = 2382

GCD(6, 794) = ( 6 x 794 ) / 2382

GCD(6, 794) = 4764 / 2382

GCD(6, 794) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

GCD of 444, 750, 794, 144 is 2

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1. What is the GCD of 444, 750, 794, 144?

GCD of 444, 750, 794, 144 is 2

2. Where do I get the detailed procedure to find GCD of 444, 750, 794, 144?

You can find a detailed procedure to find GCD of 444, 750, 794, 144 on our page.

3. How to find GCD of 444, 750, 794, 144 on a calculator?

You can find the GCD of 444, 750, 794, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.