GCD of 722, 763, 110, 494 Calculator

Given Input numbers are 722, 763, 110, 494

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

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 494

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

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

Greatest Common Divisior

We found the divisors of 722, 763, 110, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 763, 110, 494 is 1.

Therefore, GCD of numbers 722, 763, 110, 494 is 1

Given Input Data is 722, 763, 110, 494

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 763 is 7 x 109

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 494 is 2 x 13 x 19

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(722, 763) = 550886

GCD(722, 763) = ( 722 x 763 ) / 550886

GCD(722, 763) = 550886 / 550886

GCD(722, 763) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 110

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

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 722, 763, 110, 494 is 1

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1. What is the GCD of 722, 763, 110, 494?

GCD of 722, 763, 110, 494 is 1

2. Where do I get the detailed procedure to find GCD of 722, 763, 110, 494?

You can find a detailed procedure to find GCD of 722, 763, 110, 494 on our page.

3. How to find GCD of 722, 763, 110, 494 on a calculator?

You can find the GCD of 722, 763, 110, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.