GCD of 994, 212, 16, 960 Calculator

Given Input numbers are 994, 212, 16, 960

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 994, 212, 16, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 212, 16, 960 is 2.

Therefore, GCD of numbers 994, 212, 16, 960 is 2

Given Input Data is 994, 212, 16, 960

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(994, 212) = 105364

GCD(994, 212) = ( 994 x 212 ) / 105364

GCD(994, 212) = 210728 / 105364

GCD(994, 212) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

GCD of 994, 212, 16, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 845, 15, 846
• GCD of 218, 595, 49, 297
• GCD of 604, 544, 68, 854
• GCD of 360, 431, 77, 136
• GCD of 882, 957, 29, 170

1. What is the GCD of 994, 212, 16, 960?

GCD of 994, 212, 16, 960 is 2

2. Where do I get the detailed procedure to find GCD of 994, 212, 16, 960?

You can find a detailed procedure to find GCD of 994, 212, 16, 960 on our page.

3. How to find GCD of 994, 212, 16, 960 on a calculator?

You can find the GCD of 994, 212, 16, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.