GCD of 216, 902, 46 Calculator

Given Input numbers are 216, 902, 46

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 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Greatest Common Divisior

We found the divisors of 216, 902, 46 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 902, 46 is 2.

Therefore, GCD of numbers 216, 902, 46 is 2

Given Input Data is 216, 902, 46

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 902 is 2 x 11 x 41

Prime Factorization of 46 is 2 x 23

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(216, 902) = 97416

GCD(216, 902) = ( 216 x 902 ) / 97416

GCD(216, 902) = 194832 / 97416

GCD(216, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

GCD of 216, 902, 46 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 950, 31
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• GCD of 301, 971, 45
• GCD of 572, 463, 41
• GCD of 771, 106, 89

1. What is the GCD of 216, 902, 46?

GCD of 216, 902, 46 is 2

2. Where do I get the detailed procedure to find GCD of 216, 902, 46?

You can find a detailed procedure to find GCD of 216, 902, 46 on our page.

3. How to find GCD of 216, 902, 46 on a calculator?

You can find the GCD of 216, 902, 46 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.