GCD of 214, 496, 53, 394 Calculator

Given Input numbers are 214, 496, 53, 394

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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 214, 496, 53, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 496, 53, 394 is 1.

Therefore, GCD of numbers 214, 496, 53, 394 is 1

Given Input Data is 214, 496, 53, 394

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 53 is 53

Prime Factorization of 394 is 2 x 197

The above numbers do not have any common prime factor. So GCD is 1

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, 496) = 53072

GCD(214, 496) = ( 214 x 496 ) / 53072

GCD(214, 496) = 106144 / 53072

GCD(214, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

GCD of 214, 496, 53, 394 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 867, 43, 840
• GCD of 524, 146, 27, 642
• GCD of 105, 218, 71, 741
• GCD of 207, 657, 45, 188
• GCD of 492, 779, 44, 882

1. What is the GCD of 214, 496, 53, 394?

GCD of 214, 496, 53, 394 is 1

2. Where do I get the detailed procedure to find GCD of 214, 496, 53, 394?

You can find a detailed procedure to find GCD of 214, 496, 53, 394 on our page.

3. How to find GCD of 214, 496, 53, 394 on a calculator?

You can find the GCD of 214, 496, 53, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.