GCD of 838, 255, 54, 176 Calculator

Given Input numbers are 838, 255, 54, 176

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 838, 255, 54, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 255, 54, 176 is 1.

Therefore, GCD of numbers 838, 255, 54, 176 is 1

Given Input Data is 838, 255, 54, 176

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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(838, 255) = 213690

GCD(838, 255) = ( 838 x 255 ) / 213690

GCD(838, 255) = 213690 / 213690

GCD(838, 255) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 838, 255, 54, 176 is 1

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1. What is the GCD of 838, 255, 54, 176?

GCD of 838, 255, 54, 176 is 1

2. Where do I get the detailed procedure to find GCD of 838, 255, 54, 176?

You can find a detailed procedure to find GCD of 838, 255, 54, 176 on our page.

3. How to find GCD of 838, 255, 54, 176 on a calculator?

You can find the GCD of 838, 255, 54, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.