GCD of 491, 293, 169, 459 Calculator

Given Input numbers are 491, 293, 169, 459

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

Divisors of 491

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

1, 491

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 491, 293, 169, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 293, 169, 459 is 1.

Therefore, GCD of numbers 491, 293, 169, 459 is 1

Given Input Data is 491, 293, 169, 459

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

Prime Factorization of 491 is 491

Prime Factorization of 293 is 293

Prime Factorization of 169 is 13 x 13

Prime Factorization of 459 is 3 x 3 x 3 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(491, 293) = 143863

GCD(491, 293) = ( 491 x 293 ) / 143863

GCD(491, 293) = 143863 / 143863

GCD(491, 293) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 491, 293, 169, 459 is 1

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1. What is the GCD of 491, 293, 169, 459?

GCD of 491, 293, 169, 459 is 1

2. Where do I get the detailed procedure to find GCD of 491, 293, 169, 459?

You can find a detailed procedure to find GCD of 491, 293, 169, 459 on our page.

3. How to find GCD of 491, 293, 169, 459 on a calculator?

You can find the GCD of 491, 293, 169, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.