GCD of 904, 902, 665, 216 Calculator

Given Input numbers are 904, 902, 665, 216

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

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 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

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 904, 902, 665, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 902, 665, 216 is 1.

Therefore, GCD of numbers 904, 902, 665, 216 is 1

Given Input Data is 904, 902, 665, 216

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 665 is 5 x 7 x 19

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

The above numbers do not have any common prime factor. So GCD is 1

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(904, 902) = 407704

GCD(904, 902) = ( 904 x 902 ) / 407704

GCD(904, 902) = 815408 / 407704

GCD(904, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 665

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

LCM(2, 665) = 1330

GCD(2, 665) = ( 2 x 665 ) / 1330

GCD(2, 665) = 1330 / 1330

GCD(2, 665) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 904, 902, 665, 216 is 1

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1. What is the GCD of 904, 902, 665, 216?

GCD of 904, 902, 665, 216 is 1

2. Where do I get the detailed procedure to find GCD of 904, 902, 665, 216?

You can find a detailed procedure to find GCD of 904, 902, 665, 216 on our page.

3. How to find GCD of 904, 902, 665, 216 on a calculator?

You can find the GCD of 904, 902, 665, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.