GCD of 498, 104, 642, 181 Calculator

Given Input numbers are 498, 104, 642, 181

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 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Greatest Common Divisior

We found the divisors of 498, 104, 642, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 104, 642, 181 is 1.

Therefore, GCD of numbers 498, 104, 642, 181 is 1

Given Input Data is 498, 104, 642, 181

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 104 is 2 x 2 x 2 x 13

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 181 is 181

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, 104) = 25896

GCD(498, 104) = ( 498 x 104 ) / 25896

GCD(498, 104) = 51792 / 25896

GCD(498, 104) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 642

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

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

GCD(2, 642) = 1284 / 642

GCD(2, 642) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 181

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

LCM(2, 181) = 362

GCD(2, 181) = ( 2 x 181 ) / 362

GCD(2, 181) = 362 / 362

GCD(2, 181) = 1

GCD of 498, 104, 642, 181 is 1

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1. What is the GCD of 498, 104, 642, 181?

GCD of 498, 104, 642, 181 is 1

2. Where do I get the detailed procedure to find GCD of 498, 104, 642, 181?

You can find a detailed procedure to find GCD of 498, 104, 642, 181 on our page.

3. How to find GCD of 498, 104, 642, 181 on a calculator?

You can find the GCD of 498, 104, 642, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.