GCD of 378, 894, 876 Calculator

Given Input numbers are 378, 894, 876

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 894

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

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 378, 894, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 894, 876 is 6.

Therefore, GCD of numbers 378, 894, 876 is 6

Given Input Data is 378, 894, 876

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 876 is 2 x 2 x 3 x 73

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(378, 894) = 56322

GCD(378, 894) = ( 378 x 894 ) / 56322

GCD(378, 894) = 337932 / 56322

GCD(378, 894) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 876

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

LCM(6, 876) = 876

GCD(6, 876) = ( 6 x 876 ) / 876

GCD(6, 876) = 5256 / 876

GCD(6, 876) = 6

GCD of 378, 894, 876 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 927, 699
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• GCD of 800, 489, 953
• GCD of 676, 177, 827
• GCD of 277, 691, 900

1. What is the GCD of 378, 894, 876?

GCD of 378, 894, 876 is 6

2. Where do I get the detailed procedure to find GCD of 378, 894, 876?

You can find a detailed procedure to find GCD of 378, 894, 876 on our page.

3. How to find GCD of 378, 894, 876 on a calculator?

You can find the GCD of 378, 894, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.