GCD of 493, 414, 18, 575 Calculator

Given Input numbers are 493, 414, 18, 575

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 493, 414, 18, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 414, 18, 575 is 1.

Therefore, GCD of numbers 493, 414, 18, 575 is 1

Given Input Data is 493, 414, 18, 575

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 575 is 5 x 5 x 23

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, 414) = 204102

GCD(493, 414) = ( 493 x 414 ) / 204102

GCD(493, 414) = 204102 / 204102

GCD(493, 414) = 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 575

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

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

GCD(1, 575) = 575 / 575

GCD(1, 575) = 1

GCD of 493, 414, 18, 575 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 245, 73, 132
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• GCD of 160, 187, 35, 948
• GCD of 762, 954, 18, 130
• GCD of 188, 732, 13, 602

1. What is the GCD of 493, 414, 18, 575?

GCD of 493, 414, 18, 575 is 1

2. Where do I get the detailed procedure to find GCD of 493, 414, 18, 575?

You can find a detailed procedure to find GCD of 493, 414, 18, 575 on our page.

3. How to find GCD of 493, 414, 18, 575 on a calculator?

You can find the GCD of 493, 414, 18, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.