GCD of 706, 216, 830 Calculator

Given Input numbers are 706, 216, 830

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

Divisors of 706

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

1, 2, 353, 706

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 706, 216, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 216, 830 is 2.

Therefore, GCD of numbers 706, 216, 830 is 2

Given Input Data is 706, 216, 830

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 830 is 2 x 5 x 83

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(706, 216) = 76248

GCD(706, 216) = ( 706 x 216 ) / 76248

GCD(706, 216) = 152496 / 76248

GCD(706, 216) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 830

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

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

GCD(2, 830) = 1660 / 830

GCD(2, 830) = 2

GCD of 706, 216, 830 is 2

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1. What is the GCD of 706, 216, 830?

GCD of 706, 216, 830 is 2

2. Where do I get the detailed procedure to find GCD of 706, 216, 830?

You can find a detailed procedure to find GCD of 706, 216, 830 on our page.

3. How to find GCD of 706, 216, 830 on a calculator?

You can find the GCD of 706, 216, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.