GCD of 144, 244, 86, 853 Calculator

Given Input numbers are 144, 244, 86, 853

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 244

List of positive integer divisors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 853

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

1, 853

Greatest Common Divisior

We found the divisors of 144, 244, 86, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 244, 86, 853 is 1.

Therefore, GCD of numbers 144, 244, 86, 853 is 1

Given Input Data is 144, 244, 86, 853

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 244 is 2 x 2 x 61

Prime Factorization of 86 is 2 x 43

Prime Factorization of 853 is 853

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(144, 244) = 8784

GCD(144, 244) = ( 144 x 244 ) / 8784

GCD(144, 244) = 35136 / 8784

GCD(144, 244) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 86

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

LCM(4, 86) = 172

GCD(4, 86) = ( 4 x 86 ) / 172

GCD(4, 86) = 344 / 172

GCD(4, 86) = 2

Step3:

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

GCD of 144, 244, 86, 853 is 1

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1. What is the GCD of 144, 244, 86, 853?

GCD of 144, 244, 86, 853 is 1

2. Where do I get the detailed procedure to find GCD of 144, 244, 86, 853?

You can find a detailed procedure to find GCD of 144, 244, 86, 853 on our page.

3. How to find GCD of 144, 244, 86, 853 on a calculator?

You can find the GCD of 144, 244, 86, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.