GCD of 862, 210, 224 Calculator

Given Input numbers are 862, 210, 224

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

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 862, 210, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 210, 224 is 2.

Therefore, GCD of numbers 862, 210, 224 is 2

Given Input Data is 862, 210, 224

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

Prime Factorization of 862 is 2 x 431

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(862, 210) = 90510

GCD(862, 210) = ( 862 x 210 ) / 90510

GCD(862, 210) = 181020 / 90510

GCD(862, 210) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 224

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

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

GCD(2, 224) = 448 / 224

GCD(2, 224) = 2

GCD of 862, 210, 224 is 2

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1. What is the GCD of 862, 210, 224?

GCD of 862, 210, 224 is 2

2. Where do I get the detailed procedure to find GCD of 862, 210, 224?

You can find a detailed procedure to find GCD of 862, 210, 224 on our page.

3. How to find GCD of 862, 210, 224 on a calculator?

You can find the GCD of 862, 210, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.