GCD of 398, 570, 10, 110 Calculator

Given Input numbers are 398, 570, 10, 110

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 398, 570, 10, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 570, 10, 110 is 2.

Therefore, GCD of numbers 398, 570, 10, 110 is 2

Given Input Data is 398, 570, 10, 110

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 10 is 2 x 5

Prime Factorization of 110 is 2 x 5 x 11

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(398, 570) = 113430

GCD(398, 570) = ( 398 x 570 ) / 113430

GCD(398, 570) = 226860 / 113430

GCD(398, 570) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 2

GCD of 398, 570, 10, 110 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 863, 73, 270
• GCD of 494, 709, 65, 177
• GCD of 112, 401, 82, 115
• GCD of 196, 525, 46, 305
• GCD of 384, 530, 95, 882

1. What is the GCD of 398, 570, 10, 110?

GCD of 398, 570, 10, 110 is 2

2. Where do I get the detailed procedure to find GCD of 398, 570, 10, 110?

You can find a detailed procedure to find GCD of 398, 570, 10, 110 on our page.

3. How to find GCD of 398, 570, 10, 110 on a calculator?

You can find the GCD of 398, 570, 10, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.