GCD of 10, 566, 240, 110 Calculator

Given Input numbers are 10, 566, 240, 110

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

Divisors of 10

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

1, 2, 5, 10

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 10, 566, 240, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 566, 240, 110 is 2.

Therefore, GCD of numbers 10, 566, 240, 110 is 2

Given Input Data is 10, 566, 240, 110

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 566 is 2 x 283

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 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(10, 566) = 2830

GCD(10, 566) = ( 10 x 566 ) / 2830

GCD(10, 566) = 5660 / 2830

GCD(10, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 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 10, 566, 240, 110 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 483, 591, 757
• GCD of 44, 607, 412, 908
• GCD of 24, 534, 230, 991
• GCD of 10, 599, 485, 639
• GCD of 98, 182, 512, 746

1. What is the GCD of 10, 566, 240, 110?

GCD of 10, 566, 240, 110 is 2

2. Where do I get the detailed procedure to find GCD of 10, 566, 240, 110?

You can find a detailed procedure to find GCD of 10, 566, 240, 110 on our page.

3. How to find GCD of 10, 566, 240, 110 on a calculator?

You can find the GCD of 10, 566, 240, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.