GCD of 972, 686, 16, 216 Calculator

Given Input numbers are 972, 686, 16, 216

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 972, 686, 16, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 686, 16, 216 is 2.

Therefore, GCD of numbers 972, 686, 16, 216 is 2

Given Input Data is 972, 686, 16, 216

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 686 is 2 x 7 x 7 x 7

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(972, 686) = 333396

GCD(972, 686) = ( 972 x 686 ) / 333396

GCD(972, 686) = 666792 / 333396

GCD(972, 686) = 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 216

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

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

GCD(2, 216) = 432 / 216

GCD(2, 216) = 2

GCD of 972, 686, 16, 216 is 2

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1. What is the GCD of 972, 686, 16, 216?

GCD of 972, 686, 16, 216 is 2

2. Where do I get the detailed procedure to find GCD of 972, 686, 16, 216?

You can find a detailed procedure to find GCD of 972, 686, 16, 216 on our page.

3. How to find GCD of 972, 686, 16, 216 on a calculator?

You can find the GCD of 972, 686, 16, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.