GCD of 498, 193, 473, 720 Calculator

Given Input numbers are 498, 193, 473, 720

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 498, 193, 473, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 193, 473, 720 is 1.

Therefore, GCD of numbers 498, 193, 473, 720 is 1

Given Input Data is 498, 193, 473, 720

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 193 is 193

Prime Factorization of 473 is 11 x 43

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(498, 193) = 96114

GCD(498, 193) = ( 498 x 193 ) / 96114

GCD(498, 193) = 96114 / 96114

GCD(498, 193) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 498, 193, 473, 720 is 1

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• GCD of 475, 749, 314, 873
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• GCD of 506, 848, 259, 314

1. What is the GCD of 498, 193, 473, 720?

GCD of 498, 193, 473, 720 is 1

2. Where do I get the detailed procedure to find GCD of 498, 193, 473, 720?

You can find a detailed procedure to find GCD of 498, 193, 473, 720 on our page.

3. How to find GCD of 498, 193, 473, 720 on a calculator?

You can find the GCD of 498, 193, 473, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.