GCD of 214, 714, 490 Calculator

Given Input numbers are 214, 714, 490

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 214, 714, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 714, 490 is 2.

Therefore, GCD of numbers 214, 714, 490 is 2

Given Input Data is 214, 714, 490

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 490 is 2 x 5 x 7 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(214, 714) = 76398

GCD(214, 714) = ( 214 x 714 ) / 76398

GCD(214, 714) = 152796 / 76398

GCD(214, 714) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 490

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

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

GCD(2, 490) = 980 / 490

GCD(2, 490) = 2

GCD of 214, 714, 490 is 2

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1. What is the GCD of 214, 714, 490?

GCD of 214, 714, 490 is 2

2. Where do I get the detailed procedure to find GCD of 214, 714, 490?

You can find a detailed procedure to find GCD of 214, 714, 490 on our page.

3. How to find GCD of 214, 714, 490 on a calculator?

You can find the GCD of 214, 714, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.