GCD of 413, 494, 23, 548 Calculator

Given Input numbers are 413, 494, 23, 548

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 413, 494, 23, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 494, 23, 548 is 1.

Therefore, GCD of numbers 413, 494, 23, 548 is 1

Given Input Data is 413, 494, 23, 548

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 23 is 23

Prime Factorization of 548 is 2 x 2 x 137

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(413, 494) = 204022

GCD(413, 494) = ( 413 x 494 ) / 204022

GCD(413, 494) = 204022 / 204022

GCD(413, 494) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

GCD of 413, 494, 23, 548 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 601, 24, 690
• GCD of 760, 245, 54, 738
• GCD of 291, 113, 30, 990
• GCD of 971, 599, 74, 625
• GCD of 172, 165, 43, 896

1. What is the GCD of 413, 494, 23, 548?

GCD of 413, 494, 23, 548 is 1

2. Where do I get the detailed procedure to find GCD of 413, 494, 23, 548?

You can find a detailed procedure to find GCD of 413, 494, 23, 548 on our page.

3. How to find GCD of 413, 494, 23, 548 on a calculator?

You can find the GCD of 413, 494, 23, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.