GCD of 750, 222, 44, 486 Calculator

Given Input numbers are 750, 222, 44, 486

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

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 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Greatest Common Divisior

We found the divisors of 750, 222, 44, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 222, 44, 486 is 2.

Therefore, GCD of numbers 750, 222, 44, 486 is 2

Given Input Data is 750, 222, 44, 486

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

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 486 is 2 x 3 x 3 x 3 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(750, 222) = 27750

GCD(750, 222) = ( 750 x 222 ) / 27750

GCD(750, 222) = 166500 / 27750

GCD(750, 222) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 44

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

LCM(6, 44) = 132

GCD(6, 44) = ( 6 x 44 ) / 132

GCD(6, 44) = 264 / 132

GCD(6, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 486

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

LCM(2, 486) = 486

GCD(2, 486) = ( 2 x 486 ) / 486

GCD(2, 486) = 972 / 486

GCD(2, 486) = 2

GCD of 750, 222, 44, 486 is 2

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1. What is the GCD of 750, 222, 44, 486?

GCD of 750, 222, 44, 486 is 2

2. Where do I get the detailed procedure to find GCD of 750, 222, 44, 486?

You can find a detailed procedure to find GCD of 750, 222, 44, 486 on our page.

3. How to find GCD of 750, 222, 44, 486 on a calculator?

You can find the GCD of 750, 222, 44, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.