GCD of 849, 888, 107, 864 Calculator

Given Input numbers are 849, 888, 107, 864

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

Divisors of 849

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

1, 3, 283, 849

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 107

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

1, 107

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 849, 888, 107, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 888, 107, 864 is 1.

Therefore, GCD of numbers 849, 888, 107, 864 is 1

Given Input Data is 849, 888, 107, 864

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 107 is 107

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(849, 888) = 251304

GCD(849, 888) = ( 849 x 888 ) / 251304

GCD(849, 888) = 753912 / 251304

GCD(849, 888) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 107

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

LCM(3, 107) = 321

GCD(3, 107) = ( 3 x 107 ) / 321

GCD(3, 107) = 321 / 321

GCD(3, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 849, 888, 107, 864 is 1

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1. What is the GCD of 849, 888, 107, 864?

GCD of 849, 888, 107, 864 is 1

2. Where do I get the detailed procedure to find GCD of 849, 888, 107, 864?

You can find a detailed procedure to find GCD of 849, 888, 107, 864 on our page.

3. How to find GCD of 849, 888, 107, 864 on a calculator?

You can find the GCD of 849, 888, 107, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.