GCD of 497, 112, 110, 493 Calculator

Given Input numbers are 497, 112, 110, 493

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 497, 112, 110, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 112, 110, 493 is 1.

Therefore, GCD of numbers 497, 112, 110, 493 is 1

Given Input Data is 497, 112, 110, 493

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 493 is 17 x 29

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(497, 112) = 7952

GCD(497, 112) = ( 497 x 112 ) / 7952

GCD(497, 112) = 55664 / 7952

GCD(497, 112) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 110

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

LCM(7, 110) = 770

GCD(7, 110) = ( 7 x 110 ) / 770

GCD(7, 110) = 770 / 770

GCD(7, 110) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

GCD of 497, 112, 110, 493 is 1

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• GCD of 570, 745, 500, 859
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1. What is the GCD of 497, 112, 110, 493?

GCD of 497, 112, 110, 493 is 1

2. Where do I get the detailed procedure to find GCD of 497, 112, 110, 493?

You can find a detailed procedure to find GCD of 497, 112, 110, 493 on our page.

3. How to find GCD of 497, 112, 110, 493 on a calculator?

You can find the GCD of 497, 112, 110, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.