GCD of 902, 214, 864 Calculator

Given Input numbers are 902, 214, 864

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

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 902, 214, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 214, 864 is 2.

Therefore, GCD of numbers 902, 214, 864 is 2

Given Input Data is 902, 214, 864

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 214 is 2 x 107

Prime Factorization of 864 is 2 x 2 x 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(902, 214) = 96514

GCD(902, 214) = ( 902 x 214 ) / 96514

GCD(902, 214) = 193028 / 96514

GCD(902, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

GCD of 902, 214, 864 is 2

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1. What is the GCD of 902, 214, 864?

GCD of 902, 214, 864 is 2

2. Where do I get the detailed procedure to find GCD of 902, 214, 864?

You can find a detailed procedure to find GCD of 902, 214, 864 on our page.

3. How to find GCD of 902, 214, 864 on a calculator?

You can find the GCD of 902, 214, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.