GCD of 332, 954, 798 Calculator

Given Input numbers are 332, 954, 798

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

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

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 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 332, 954, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 954, 798 is 2.

Therefore, GCD of numbers 332, 954, 798 is 2

Given Input Data is 332, 954, 798

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

Prime Factorization of 332 is 2 x 2 x 83

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

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(332, 954) = 158364

GCD(332, 954) = ( 332 x 954 ) / 158364

GCD(332, 954) = 316728 / 158364

GCD(332, 954) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 798

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

LCM(2, 798) = 798

GCD(2, 798) = ( 2 x 798 ) / 798

GCD(2, 798) = 1596 / 798

GCD(2, 798) = 2

GCD of 332, 954, 798 is 2

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1. What is the GCD of 332, 954, 798?

GCD of 332, 954, 798 is 2

2. Where do I get the detailed procedure to find GCD of 332, 954, 798?

You can find a detailed procedure to find GCD of 332, 954, 798 on our page.

3. How to find GCD of 332, 954, 798 on a calculator?

You can find the GCD of 332, 954, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.