GCD of 344, 254, 853, 363 Calculator

Given Input numbers are 344, 254, 853, 363

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 254

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

1, 2, 127, 254

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 344, 254, 853, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 254, 853, 363 is 1.

Therefore, GCD of numbers 344, 254, 853, 363 is 1

Given Input Data is 344, 254, 853, 363

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 254 is 2 x 127

Prime Factorization of 853 is 853

Prime Factorization of 363 is 3 x 11 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(344, 254) = 43688

GCD(344, 254) = ( 344 x 254 ) / 43688

GCD(344, 254) = 87376 / 43688

GCD(344, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 853

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

LCM(2, 853) = 1706

GCD(2, 853) = ( 2 x 853 ) / 1706

GCD(2, 853) = 1706 / 1706

GCD(2, 853) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 344, 254, 853, 363 is 1

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1. What is the GCD of 344, 254, 853, 363?

GCD of 344, 254, 853, 363 is 1

2. Where do I get the detailed procedure to find GCD of 344, 254, 853, 363?

You can find a detailed procedure to find GCD of 344, 254, 853, 363 on our page.

3. How to find GCD of 344, 254, 853, 363 on a calculator?

You can find the GCD of 344, 254, 853, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.