GCD of 56, 6, 66, 10 Calculator

Given Input numbers are 56, 6, 66, 10

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 10

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

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 56, 6, 66, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 6, 66, 10 is 2.

Therefore, GCD of numbers 56, 6, 66, 10 is 2

Given Input Data is 56, 6, 66, 10

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 6 is 2 x 3

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 10 is 2 x 5

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(56, 6) = 168

GCD(56, 6) = ( 56 x 6 ) / 168

GCD(56, 6) = 336 / 168

GCD(56, 6) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

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

GCD of 56, 6, 66, 10 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 9, 87, 52
• GCD of 41, 1, 10, 99
• GCD of 16, 5, 43, 61
• GCD of 11, 4, 44, 61
• GCD of 17, 6, 96, 75

1. What is the GCD of 56, 6, 66, 10?

GCD of 56, 6, 66, 10 is 2

2. Where do I get the detailed procedure to find GCD of 56, 6, 66, 10?

You can find a detailed procedure to find GCD of 56, 6, 66, 10 on our page.

3. How to find GCD of 56, 6, 66, 10 on a calculator?

You can find the GCD of 56, 6, 66, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.