GCD of 996, 966, 16, 542 Calculator

Given Input numbers are 996, 966, 16, 542

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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 16

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

1, 2, 4, 8, 16

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 996, 966, 16, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 966, 16, 542 is 2.

Therefore, GCD of numbers 996, 966, 16, 542 is 2

Given Input Data is 996, 966, 16, 542

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

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

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

Prime Factorization of 542 is 2 x 271

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(996, 966) = 160356

GCD(996, 966) = ( 996 x 966 ) / 160356

GCD(996, 966) = 962136 / 160356

GCD(996, 966) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 16

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

LCM(6, 16) = 48

GCD(6, 16) = ( 6 x 16 ) / 48

GCD(6, 16) = 96 / 48

GCD(6, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 542

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

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

GCD(2, 542) = 1084 / 542

GCD(2, 542) = 2

GCD of 996, 966, 16, 542 is 2

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1. What is the GCD of 996, 966, 16, 542?

GCD of 996, 966, 16, 542 is 2

2. Where do I get the detailed procedure to find GCD of 996, 966, 16, 542?

You can find a detailed procedure to find GCD of 996, 966, 16, 542 on our page.

3. How to find GCD of 996, 966, 16, 542 on a calculator?

You can find the GCD of 996, 966, 16, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.