GCD of 107, 849, 385, 884 Calculator

Given Input numbers are 107, 849, 385, 884

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 107, 849, 385, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 849, 385, 884 is 1.

Therefore, GCD of numbers 107, 849, 385, 884 is 1

Given Input Data is 107, 849, 385, 884

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

Prime Factorization of 107 is 107

Prime Factorization of 849 is 3 x 283

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 884 is 2 x 2 x 13 x 17

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(107, 849) = 90843

GCD(107, 849) = ( 107 x 849 ) / 90843

GCD(107, 849) = 90843 / 90843

GCD(107, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 107, 849, 385, 884 is 1

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1. What is the GCD of 107, 849, 385, 884?

GCD of 107, 849, 385, 884 is 1

2. Where do I get the detailed procedure to find GCD of 107, 849, 385, 884?

You can find a detailed procedure to find GCD of 107, 849, 385, 884 on our page.

3. How to find GCD of 107, 849, 385, 884 on a calculator?

You can find the GCD of 107, 849, 385, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.