GCD of 997, 435, 18, 226 Calculator

Given Input numbers are 997, 435, 18, 226

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

Divisors of 997

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

1, 997

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 997, 435, 18, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 435, 18, 226 is 1.

Therefore, GCD of numbers 997, 435, 18, 226 is 1

Given Input Data is 997, 435, 18, 226

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

Prime Factorization of 997 is 997

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 226 is 2 x 113

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(997, 435) = 433695

GCD(997, 435) = ( 997 x 435 ) / 433695

GCD(997, 435) = 433695 / 433695

GCD(997, 435) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 997, 435, 18, 226 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 854, 84, 533
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• GCD of 112, 782, 33, 292
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• GCD of 517, 975, 30, 238

1. What is the GCD of 997, 435, 18, 226?

GCD of 997, 435, 18, 226 is 1

2. Where do I get the detailed procedure to find GCD of 997, 435, 18, 226?

You can find a detailed procedure to find GCD of 997, 435, 18, 226 on our page.

3. How to find GCD of 997, 435, 18, 226 on a calculator?

You can find the GCD of 997, 435, 18, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.