GCD of 816, 880, 192, 954 Calculator

Given Input numbers are 816, 880, 192, 954

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 816, 880, 192, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 880, 192, 954 is 2.

Therefore, GCD of numbers 816, 880, 192, 954 is 2

Given Input Data is 816, 880, 192, 954

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(816, 880) = 44880

GCD(816, 880) = ( 816 x 880 ) / 44880

GCD(816, 880) = 718080 / 44880

GCD(816, 880) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 192

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

LCM(16, 192) = 192

GCD(16, 192) = ( 16 x 192 ) / 192

GCD(16, 192) = 3072 / 192

GCD(16, 192) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 954

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

LCM(16, 954) = 7632

GCD(16, 954) = ( 16 x 954 ) / 7632

GCD(16, 954) = 15264 / 7632

GCD(16, 954) = 2

GCD of 816, 880, 192, 954 is 2

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1. What is the GCD of 816, 880, 192, 954?

GCD of 816, 880, 192, 954 is 2

2. Where do I get the detailed procedure to find GCD of 816, 880, 192, 954?

You can find a detailed procedure to find GCD of 816, 880, 192, 954 on our page.

3. How to find GCD of 816, 880, 192, 954 on a calculator?

You can find the GCD of 816, 880, 192, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.