GCD of 853, 768, 39, 894 Calculator

Given Input numbers are 853, 768, 39, 894

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

Divisors of 853

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

1, 853

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 853, 768, 39, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 768, 39, 894 is 1.

Therefore, GCD of numbers 853, 768, 39, 894 is 1

Given Input Data is 853, 768, 39, 894

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

Prime Factorization of 853 is 853

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 39 is 3 x 13

Prime Factorization of 894 is 2 x 3 x 149

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(853, 768) = 655104

GCD(853, 768) = ( 853 x 768 ) / 655104

GCD(853, 768) = 655104 / 655104

GCD(853, 768) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 853, 768, 39, 894 is 1

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1. What is the GCD of 853, 768, 39, 894?

GCD of 853, 768, 39, 894 is 1

2. Where do I get the detailed procedure to find GCD of 853, 768, 39, 894?

You can find a detailed procedure to find GCD of 853, 768, 39, 894 on our page.

3. How to find GCD of 853, 768, 39, 894 on a calculator?

You can find the GCD of 853, 768, 39, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.