GCD of 493, 221, 35, 394 Calculator

Given Input numbers are 493, 221, 35, 394

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

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 493, 221, 35, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 221, 35, 394 is 1.

Therefore, GCD of numbers 493, 221, 35, 394 is 1

Given Input Data is 493, 221, 35, 394

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 221 is 13 x 17

Prime Factorization of 35 is 5 x 7

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(493, 221) = 6409

GCD(493, 221) = ( 493 x 221 ) / 6409

GCD(493, 221) = 108953 / 6409

GCD(493, 221) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 35

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

LCM(17, 35) = 595

GCD(17, 35) = ( 17 x 35 ) / 595

GCD(17, 35) = 595 / 595

GCD(17, 35) = 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 493, 221, 35, 394 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 586, 37, 946
• GCD of 934, 228, 37, 667
• GCD of 151, 317, 87, 804
• GCD of 691, 579, 63, 877
• GCD of 366, 150, 83, 136

1. What is the GCD of 493, 221, 35, 394?

GCD of 493, 221, 35, 394 is 1

2. Where do I get the detailed procedure to find GCD of 493, 221, 35, 394?

You can find a detailed procedure to find GCD of 493, 221, 35, 394 on our page.

3. How to find GCD of 493, 221, 35, 394 on a calculator?

You can find the GCD of 493, 221, 35, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.