GCD of 935, 254, 498, 108 Calculator

Given Input numbers are 935, 254, 498, 108

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

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

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 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

Greatest Common Divisior

We found the divisors of 935, 254, 498, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 935, 254, 498, 108 is 1.

Therefore, GCD of numbers 935, 254, 498, 108 is 1

Given Input Data is 935, 254, 498, 108

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

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 254 is 2 x 127

Prime Factorization of 498 is 2 x 3 x 83

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

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(935, 254) = 237490

GCD(935, 254) = ( 935 x 254 ) / 237490

GCD(935, 254) = 237490 / 237490

GCD(935, 254) = 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 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 935, 254, 498, 108 is 1

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1. What is the GCD of 935, 254, 498, 108?

GCD of 935, 254, 498, 108 is 1

2. Where do I get the detailed procedure to find GCD of 935, 254, 498, 108?

You can find a detailed procedure to find GCD of 935, 254, 498, 108 on our page.

3. How to find GCD of 935, 254, 498, 108 on a calculator?

You can find the GCD of 935, 254, 498, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.