GCD of 493, 491, 45, 205 Calculator

Given Input numbers are 493, 491, 45, 205

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 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 493, 491, 45, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 491, 45, 205 is 1.

Therefore, GCD of numbers 493, 491, 45, 205 is 1

Given Input Data is 493, 491, 45, 205

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 491 is 491

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 205 is 5 x 41

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, 491) = 242063

GCD(493, 491) = ( 493 x 491 ) / 242063

GCD(493, 491) = 242063 / 242063

GCD(493, 491) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 493, 491, 45, 205 is 1

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• GCD of 377, 325, 48, 969
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• GCD of 155, 825, 66, 524

1. What is the GCD of 493, 491, 45, 205?

GCD of 493, 491, 45, 205 is 1

2. Where do I get the detailed procedure to find GCD of 493, 491, 45, 205?

You can find a detailed procedure to find GCD of 493, 491, 45, 205 on our page.

3. How to find GCD of 493, 491, 45, 205 on a calculator?

You can find the GCD of 493, 491, 45, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.