GCD of 289, 136, 48, 854 Calculator

Given Input numbers are 289, 136, 48, 854

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 289, 136, 48, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 136, 48, 854 is 1.

Therefore, GCD of numbers 289, 136, 48, 854 is 1

Given Input Data is 289, 136, 48, 854

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 854 is 2 x 7 x 61

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(289, 136) = 2312

GCD(289, 136) = ( 289 x 136 ) / 2312

GCD(289, 136) = 39304 / 2312

GCD(289, 136) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 48

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

LCM(17, 48) = 816

GCD(17, 48) = ( 17 x 48 ) / 816

GCD(17, 48) = 816 / 816

GCD(17, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 289, 136, 48, 854 is 1

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1. What is the GCD of 289, 136, 48, 854?

GCD of 289, 136, 48, 854 is 1

2. Where do I get the detailed procedure to find GCD of 289, 136, 48, 854?

You can find a detailed procedure to find GCD of 289, 136, 48, 854 on our page.

3. How to find GCD of 289, 136, 48, 854 on a calculator?

You can find the GCD of 289, 136, 48, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.