GCD of 954, 846, 16 Calculator

Given Input numbers are 954, 846, 16

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

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 954, 846, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 846, 16 is 2.

Therefore, GCD of numbers 954, 846, 16 is 2

Given Input Data is 954, 846, 16

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

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 16 is 2 x 2 x 2 x 2

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(954, 846) = 44838

GCD(954, 846) = ( 954 x 846 ) / 44838

GCD(954, 846) = 807084 / 44838

GCD(954, 846) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 16

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

LCM(18, 16) = 144

GCD(18, 16) = ( 18 x 16 ) / 144

GCD(18, 16) = 288 / 144

GCD(18, 16) = 2

GCD of 954, 846, 16 is 2

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1. What is the GCD of 954, 846, 16?

GCD of 954, 846, 16 is 2

2. Where do I get the detailed procedure to find GCD of 954, 846, 16?

You can find a detailed procedure to find GCD of 954, 846, 16 on our page.

3. How to find GCD of 954, 846, 16 on a calculator?

You can find the GCD of 954, 846, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.