GCD of 155, 523, 498 Calculator

Given Input numbers are 155, 523, 498

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

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 498

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

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

Greatest Common Divisior

We found the divisors of 155, 523, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 155, 523, 498 is 1.

Therefore, GCD of numbers 155, 523, 498 is 1

Given Input Data is 155, 523, 498

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

Prime Factorization of 155 is 5 x 31

Prime Factorization of 523 is 523

Prime Factorization of 498 is 2 x 3 x 83

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(155, 523) = 81065

GCD(155, 523) = ( 155 x 523 ) / 81065

GCD(155, 523) = 81065 / 81065

GCD(155, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 155, 523, 498 is 1

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1. What is the GCD of 155, 523, 498?

GCD of 155, 523, 498 is 1

2. Where do I get the detailed procedure to find GCD of 155, 523, 498?

You can find a detailed procedure to find GCD of 155, 523, 498 on our page.

3. How to find GCD of 155, 523, 498 on a calculator?

You can find the GCD of 155, 523, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.