GCD of 498, 387, 86, 582 Calculator

Given Input numbers are 498, 387, 86, 582

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Greatest Common Divisior

We found the divisors of 498, 387, 86, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 387, 86, 582 is 1.

Therefore, GCD of numbers 498, 387, 86, 582 is 1

Given Input Data is 498, 387, 86, 582

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 387 is 3 x 3 x 43

Prime Factorization of 86 is 2 x 43

Prime Factorization of 582 is 2 x 3 x 97

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, 387) = 64242

GCD(498, 387) = ( 498 x 387 ) / 64242

GCD(498, 387) = 192726 / 64242

GCD(498, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 86

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

LCM(3, 86) = 258

GCD(3, 86) = ( 3 x 86 ) / 258

GCD(3, 86) = 258 / 258

GCD(3, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 582

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

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

GCD(1, 582) = 582 / 582

GCD(1, 582) = 1

GCD of 498, 387, 86, 582 is 1

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1. What is the GCD of 498, 387, 86, 582?

GCD of 498, 387, 86, 582 is 1

2. Where do I get the detailed procedure to find GCD of 498, 387, 86, 582?

You can find a detailed procedure to find GCD of 498, 387, 86, 582 on our page.

3. How to find GCD of 498, 387, 86, 582 on a calculator?

You can find the GCD of 498, 387, 86, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.