GCD of 876, 468, 18, 966 Calculator

Given Input numbers are 876, 468, 18, 966

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

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 876, 468, 18, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 468, 18, 966 is 6.

Therefore, GCD of numbers 876, 468, 18, 966 is 6

Given Input Data is 876, 468, 18, 966

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

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(876, 468) = 34164

GCD(876, 468) = ( 876 x 468 ) / 34164

GCD(876, 468) = 409968 / 34164

GCD(876, 468) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 18

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

LCM(12, 18) = 36

GCD(12, 18) = ( 12 x 18 ) / 36

GCD(12, 18) = 216 / 36

GCD(12, 18) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 966

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

LCM(6, 966) = 966

GCD(6, 966) = ( 6 x 966 ) / 966

GCD(6, 966) = 5796 / 966

GCD(6, 966) = 6

GCD of 876, 468, 18, 966 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 188, 59, 856
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• GCD of 120, 584, 52, 715

1. What is the GCD of 876, 468, 18, 966?

GCD of 876, 468, 18, 966 is 6

2. Where do I get the detailed procedure to find GCD of 876, 468, 18, 966?

You can find a detailed procedure to find GCD of 876, 468, 18, 966 on our page.

3. How to find GCD of 876, 468, 18, 966 on a calculator?

You can find the GCD of 876, 468, 18, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.