GCD of 882, 966, 42, 392 Calculator

Given Input numbers are 882, 966, 42, 392

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

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 882, 966, 42, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 966, 42, 392 is 14.

Therefore, GCD of numbers 882, 966, 42, 392 is 14

Given Input Data is 882, 966, 42, 392

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Highest common occurrences in the given inputs are 2¹ x 7¹

Multiplying them we get the GCD as 14

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(882, 966) = 20286

GCD(882, 966) = ( 882 x 966 ) / 20286

GCD(882, 966) = 852012 / 20286

GCD(882, 966) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 42

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

LCM(42, 42) = 42

GCD(42, 42) = ( 42 x 42 ) / 42

GCD(42, 42) = 1764 / 42

GCD(42, 42) = 42

Step3:

Here we consider the GCD from the above i.e. 42 as first number and the next as 392

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

LCM(42, 392) = 1176

GCD(42, 392) = ( 42 x 392 ) / 1176

GCD(42, 392) = 16464 / 1176

GCD(42, 392) = 14

GCD of 882, 966, 42, 392 is 14

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• GCD of 176, 247, 20, 748
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1. What is the GCD of 882, 966, 42, 392?

GCD of 882, 966, 42, 392 is 14

2. Where do I get the detailed procedure to find GCD of 882, 966, 42, 392?

You can find a detailed procedure to find GCD of 882, 966, 42, 392 on our page.

3. How to find GCD of 882, 966, 42, 392 on a calculator?

You can find the GCD of 882, 966, 42, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.