GCD of 966, 336, 14, 678 Calculator

Given Input numbers are 966, 336, 14, 678

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

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 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 966, 336, 14, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 336, 14, 678 is 2.

Therefore, GCD of numbers 966, 336, 14, 678 is 2

Given Input Data is 966, 336, 14, 678

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

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 678 is 2 x 3 x 113

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(966, 336) = 7728

GCD(966, 336) = ( 966 x 336 ) / 7728

GCD(966, 336) = 324576 / 7728

GCD(966, 336) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 14

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

LCM(42, 14) = 42

GCD(42, 14) = ( 42 x 14 ) / 42

GCD(42, 14) = 588 / 42

GCD(42, 14) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 678

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

LCM(14, 678) = 4746

GCD(14, 678) = ( 14 x 678 ) / 4746

GCD(14, 678) = 9492 / 4746

GCD(14, 678) = 2

GCD of 966, 336, 14, 678 is 2

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1. What is the GCD of 966, 336, 14, 678?

GCD of 966, 336, 14, 678 is 2

2. Where do I get the detailed procedure to find GCD of 966, 336, 14, 678?

You can find a detailed procedure to find GCD of 966, 336, 14, 678 on our page.

3. How to find GCD of 966, 336, 14, 678 on a calculator?

You can find the GCD of 966, 336, 14, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.