GCD of 254, 490, 212 Calculator

Given Input numbers are 254, 490, 212

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 254, 490, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 490, 212 is 2.

Therefore, GCD of numbers 254, 490, 212 is 2

Given Input Data is 254, 490, 212

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 212 is 2 x 2 x 53

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(254, 490) = 62230

GCD(254, 490) = ( 254 x 490 ) / 62230

GCD(254, 490) = 124460 / 62230

GCD(254, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 212

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

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

GCD(2, 212) = 424 / 212

GCD(2, 212) = 2

GCD of 254, 490, 212 is 2

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1. What is the GCD of 254, 490, 212?

GCD of 254, 490, 212 is 2

2. Where do I get the detailed procedure to find GCD of 254, 490, 212?

You can find a detailed procedure to find GCD of 254, 490, 212 on our page.

3. How to find GCD of 254, 490, 212 on a calculator?

You can find the GCD of 254, 490, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.