GCD of 497, 324, 88, 498 Calculator

Given Input numbers are 497, 324, 88, 498

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

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 497, 324, 88, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 324, 88, 498 is 1.

Therefore, GCD of numbers 497, 324, 88, 498 is 1

Given Input Data is 497, 324, 88, 498

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 88 is 2 x 2 x 2 x 11

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(497, 324) = 161028

GCD(497, 324) = ( 497 x 324 ) / 161028

GCD(497, 324) = 161028 / 161028

GCD(497, 324) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

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 497, 324, 88, 498 is 1

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1. What is the GCD of 497, 324, 88, 498?

GCD of 497, 324, 88, 498 is 1

2. Where do I get the detailed procedure to find GCD of 497, 324, 88, 498?

You can find a detailed procedure to find GCD of 497, 324, 88, 498 on our page.

3. How to find GCD of 497, 324, 88, 498 on a calculator?

You can find the GCD of 497, 324, 88, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.