GCD of 984, 432, 354 Calculator

Given Input numbers are 984, 432, 354

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 984, 432, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 432, 354 is 6.

Therefore, GCD of numbers 984, 432, 354 is 6

Given Input Data is 984, 432, 354

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 354 is 2 x 3 x 59

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(984, 432) = 17712

GCD(984, 432) = ( 984 x 432 ) / 17712

GCD(984, 432) = 425088 / 17712

GCD(984, 432) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 354

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

LCM(24, 354) = 1416

GCD(24, 354) = ( 24 x 354 ) / 1416

GCD(24, 354) = 8496 / 1416

GCD(24, 354) = 6

GCD of 984, 432, 354 is 6

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1. What is the GCD of 984, 432, 354?

GCD of 984, 432, 354 is 6

2. Where do I get the detailed procedure to find GCD of 984, 432, 354?

You can find a detailed procedure to find GCD of 984, 432, 354 on our page.

3. How to find GCD of 984, 432, 354 on a calculator?

You can find the GCD of 984, 432, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.