GCD of 492, 997, 38, 221 Calculator

Given Input numbers are 492, 997, 38, 221

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 221

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

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 492, 997, 38, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 997, 38, 221 is 1.

Therefore, GCD of numbers 492, 997, 38, 221 is 1

Given Input Data is 492, 997, 38, 221

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 997 is 997

Prime Factorization of 38 is 2 x 19

Prime Factorization of 221 is 13 x 17

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(492, 997) = 490524

GCD(492, 997) = ( 492 x 997 ) / 490524

GCD(492, 997) = 490524 / 490524

GCD(492, 997) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 492, 997, 38, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 563, 99, 386
• GCD of 261, 996, 70, 964
• GCD of 384, 864, 91, 583
• GCD of 245, 226, 54, 710
• GCD of 560, 170, 26, 377

1. What is the GCD of 492, 997, 38, 221?

GCD of 492, 997, 38, 221 is 1

2. Where do I get the detailed procedure to find GCD of 492, 997, 38, 221?

You can find a detailed procedure to find GCD of 492, 997, 38, 221 on our page.

3. How to find GCD of 492, 997, 38, 221 on a calculator?

You can find the GCD of 492, 997, 38, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.