GCD of 335, 108, 498, 561 Calculator

Given Input numbers are 335, 108, 498, 561

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

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

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

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 335, 108, 498, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 335, 108, 498, 561 is 1.

Therefore, GCD of numbers 335, 108, 498, 561 is 1

Given Input Data is 335, 108, 498, 561

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

Prime Factorization of 335 is 5 x 67

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 561 is 3 x 11 x 17

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(335, 108) = 36180

GCD(335, 108) = ( 335 x 108 ) / 36180

GCD(335, 108) = 36180 / 36180

GCD(335, 108) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 335, 108, 498, 561 is 1

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1. What is the GCD of 335, 108, 498, 561?

GCD of 335, 108, 498, 561 is 1

2. Where do I get the detailed procedure to find GCD of 335, 108, 498, 561?

You can find a detailed procedure to find GCD of 335, 108, 498, 561 on our page.

3. How to find GCD of 335, 108, 498, 561 on a calculator?

You can find the GCD of 335, 108, 498, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.