GCD of 495, 391, 254, 108 Calculator

Given Input numbers are 495, 391, 254, 108

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 254

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

1, 2, 127, 254

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 495, 391, 254, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 391, 254, 108 is 1.

Therefore, GCD of numbers 495, 391, 254, 108 is 1

Given Input Data is 495, 391, 254, 108

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 391 is 17 x 23

Prime Factorization of 254 is 2 x 127

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(495, 391) = 193545

GCD(495, 391) = ( 495 x 391 ) / 193545

GCD(495, 391) = 193545 / 193545

GCD(495, 391) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 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 495, 391, 254, 108 is 1

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1. What is the GCD of 495, 391, 254, 108?

GCD of 495, 391, 254, 108 is 1

2. Where do I get the detailed procedure to find GCD of 495, 391, 254, 108?

You can find a detailed procedure to find GCD of 495, 391, 254, 108 on our page.

3. How to find GCD of 495, 391, 254, 108 on a calculator?

You can find the GCD of 495, 391, 254, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.