GCD of 16, 116, 704, 982 Calculator

Given Input numbers are 16, 116, 704, 982

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

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 16, 116, 704, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 116, 704, 982 is 2.

Therefore, GCD of numbers 16, 116, 704, 982 is 2

Given Input Data is 16, 116, 704, 982

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

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 982 is 2 x 491

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(16, 116) = 464

GCD(16, 116) = ( 16 x 116 ) / 464

GCD(16, 116) = 1856 / 464

GCD(16, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 704

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

LCM(4, 704) = 704

GCD(4, 704) = ( 4 x 704 ) / 704

GCD(4, 704) = 2816 / 704

GCD(4, 704) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 982

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

LCM(4, 982) = 1964

GCD(4, 982) = ( 4 x 982 ) / 1964

GCD(4, 982) = 3928 / 1964

GCD(4, 982) = 2

GCD of 16, 116, 704, 982 is 2

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• GCD of 66, 828, 666, 476
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1. What is the GCD of 16, 116, 704, 982?

GCD of 16, 116, 704, 982 is 2

2. Where do I get the detailed procedure to find GCD of 16, 116, 704, 982?

You can find a detailed procedure to find GCD of 16, 116, 704, 982 on our page.

3. How to find GCD of 16, 116, 704, 982 on a calculator?

You can find the GCD of 16, 116, 704, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.