GCD of 384, 706, 210 Calculator

Given Input numbers are 384, 706, 210

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

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

Greatest Common Divisior

We found the divisors of 384, 706, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 706, 210 is 2.

Therefore, GCD of numbers 384, 706, 210 is 2

Given Input Data is 384, 706, 210

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 706 is 2 x 353

Prime Factorization of 210 is 2 x 3 x 5 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(384, 706) = 135552

GCD(384, 706) = ( 384 x 706 ) / 135552

GCD(384, 706) = 271104 / 135552

GCD(384, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 210

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

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

GCD(2, 210) = 420 / 210

GCD(2, 210) = 2

GCD of 384, 706, 210 is 2

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1. What is the GCD of 384, 706, 210?

GCD of 384, 706, 210 is 2

2. Where do I get the detailed procedure to find GCD of 384, 706, 210?

You can find a detailed procedure to find GCD of 384, 706, 210 on our page.

3. How to find GCD of 384, 706, 210 on a calculator?

You can find the GCD of 384, 706, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.