GCD of 10, 812, 248, 232 Calculator

Given Input numbers are 10, 812, 248, 232

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 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 10, 812, 248, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 812, 248, 232 is 2.

Therefore, GCD of numbers 10, 812, 248, 232 is 2

Given Input Data is 10, 812, 248, 232

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 232 is 2 x 2 x 2 x 29

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, 812) = 4060

GCD(10, 812) = ( 10 x 812 ) / 4060

GCD(10, 812) = 8120 / 4060

GCD(10, 812) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 248

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

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

GCD(2, 248) = 496 / 248

GCD(2, 248) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 232

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

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

GCD(2, 232) = 464 / 232

GCD(2, 232) = 2

GCD of 10, 812, 248, 232 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 428, 480, 201
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• GCD of 82, 607, 991, 761

1. What is the GCD of 10, 812, 248, 232?

GCD of 10, 812, 248, 232 is 2

2. Where do I get the detailed procedure to find GCD of 10, 812, 248, 232?

You can find a detailed procedure to find GCD of 10, 812, 248, 232 on our page.

3. How to find GCD of 10, 812, 248, 232 on a calculator?

You can find the GCD of 10, 812, 248, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.