GCD of 216, 952, 608 Calculator

Given Input numbers are 216, 952, 608

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

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 216, 952, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 952, 608 is 8.

Therefore, GCD of numbers 216, 952, 608 is 8

Given Input Data is 216, 952, 608

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

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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(216, 952) = 25704

GCD(216, 952) = ( 216 x 952 ) / 25704

GCD(216, 952) = 205632 / 25704

GCD(216, 952) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 608

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

LCM(8, 608) = 608

GCD(8, 608) = ( 8 x 608 ) / 608

GCD(8, 608) = 4864 / 608

GCD(8, 608) = 8

GCD of 216, 952, 608 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 264, 525
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• GCD of 125, 114, 142
• GCD of 888, 644, 555

1. What is the GCD of 216, 952, 608?

GCD of 216, 952, 608 is 8

2. Where do I get the detailed procedure to find GCD of 216, 952, 608?

You can find a detailed procedure to find GCD of 216, 952, 608 on our page.

3. How to find GCD of 216, 952, 608 on a calculator?

You can find the GCD of 216, 952, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.