GCD of 310, 444, 350, 572 Calculator

Given Input numbers are 310, 444, 350, 572

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

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 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 310, 444, 350, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 444, 350, 572 is 2.

Therefore, GCD of numbers 310, 444, 350, 572 is 2

Given Input Data is 310, 444, 350, 572

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

Prime Factorization of 310 is 2 x 5 x 31

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 572 is 2 x 2 x 11 x 13

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(310, 444) = 68820

GCD(310, 444) = ( 310 x 444 ) / 68820

GCD(310, 444) = 137640 / 68820

GCD(310, 444) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 350

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

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

GCD(2, 350) = 700 / 350

GCD(2, 350) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 572

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

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

GCD(2, 572) = 1144 / 572

GCD(2, 572) = 2

GCD of 310, 444, 350, 572 is 2

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1. What is the GCD of 310, 444, 350, 572?

GCD of 310, 444, 350, 572 is 2

2. Where do I get the detailed procedure to find GCD of 310, 444, 350, 572?

You can find a detailed procedure to find GCD of 310, 444, 350, 572 on our page.

3. How to find GCD of 310, 444, 350, 572 on a calculator?

You can find the GCD of 310, 444, 350, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.