GCD of 498, 326, 41, 175 Calculator

Given Input numbers are 498, 326, 41, 175

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 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 498, 326, 41, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 326, 41, 175 is 1.

Therefore, GCD of numbers 498, 326, 41, 175 is 1

Given Input Data is 498, 326, 41, 175

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 326 is 2 x 163

Prime Factorization of 41 is 41

Prime Factorization of 175 is 5 x 5 x 7

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, 326) = 81174

GCD(498, 326) = ( 498 x 326 ) / 81174

GCD(498, 326) = 162348 / 81174

GCD(498, 326) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 41

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

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

GCD(2, 41) = 82 / 82

GCD(2, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 498, 326, 41, 175 is 1

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1. What is the GCD of 498, 326, 41, 175?

GCD of 498, 326, 41, 175 is 1

2. Where do I get the detailed procedure to find GCD of 498, 326, 41, 175?

You can find a detailed procedure to find GCD of 498, 326, 41, 175 on our page.

3. How to find GCD of 498, 326, 41, 175 on a calculator?

You can find the GCD of 498, 326, 41, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.