GCD of 498, 753, 589 Calculator

Given Input numbers are 498, 753, 589

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 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 498, 753, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 753, 589 is 1.

Therefore, GCD of numbers 498, 753, 589 is 1

Given Input Data is 498, 753, 589

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 753 is 3 x 251

Prime Factorization of 589 is 19 x 31

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, 753) = 124998

GCD(498, 753) = ( 498 x 753 ) / 124998

GCD(498, 753) = 374994 / 124998

GCD(498, 753) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 589

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

LCM(3, 589) = 1767

GCD(3, 589) = ( 3 x 589 ) / 1767

GCD(3, 589) = 1767 / 1767

GCD(3, 589) = 1

GCD of 498, 753, 589 is 1

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• GCD of 676, 531, 138
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1. What is the GCD of 498, 753, 589?

GCD of 498, 753, 589 is 1

2. Where do I get the detailed procedure to find GCD of 498, 753, 589?

You can find a detailed procedure to find GCD of 498, 753, 589 on our page.

3. How to find GCD of 498, 753, 589 on a calculator?

You can find the GCD of 498, 753, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.