GCD of 498, 192, 711, 461 Calculator

Given Input numbers are 498, 192, 711, 461

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 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 498, 192, 711, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 192, 711, 461 is 1.

Therefore, GCD of numbers 498, 192, 711, 461 is 1

Given Input Data is 498, 192, 711, 461

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 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 461 is 461

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, 192) = 15936

GCD(498, 192) = ( 498 x 192 ) / 15936

GCD(498, 192) = 95616 / 15936

GCD(498, 192) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 711

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

LCM(6, 711) = 1422

GCD(6, 711) = ( 6 x 711 ) / 1422

GCD(6, 711) = 4266 / 1422

GCD(6, 711) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 461

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

LCM(3, 461) = 1383

GCD(3, 461) = ( 3 x 461 ) / 1383

GCD(3, 461) = 1383 / 1383

GCD(3, 461) = 1

GCD of 498, 192, 711, 461 is 1

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1. What is the GCD of 498, 192, 711, 461?

GCD of 498, 192, 711, 461 is 1

2. Where do I get the detailed procedure to find GCD of 498, 192, 711, 461?

You can find a detailed procedure to find GCD of 498, 192, 711, 461 on our page.

3. How to find GCD of 498, 192, 711, 461 on a calculator?

You can find the GCD of 498, 192, 711, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.