GCD of 288, 354, 834 Calculator

Given Input numbers are 288, 354, 834

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 354

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

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 288, 354, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 354, 834 is 6.

Therefore, GCD of numbers 288, 354, 834 is 6

Given Input Data is 288, 354, 834

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 834 is 2 x 3 x 139

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(288, 354) = 16992

GCD(288, 354) = ( 288 x 354 ) / 16992

GCD(288, 354) = 101952 / 16992

GCD(288, 354) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 834

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

LCM(6, 834) = 834

GCD(6, 834) = ( 6 x 834 ) / 834

GCD(6, 834) = 5004 / 834

GCD(6, 834) = 6

GCD of 288, 354, 834 is 6

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1. What is the GCD of 288, 354, 834?

GCD of 288, 354, 834 is 6

2. Where do I get the detailed procedure to find GCD of 288, 354, 834?

You can find a detailed procedure to find GCD of 288, 354, 834 on our page.

3. How to find GCD of 288, 354, 834 on a calculator?

You can find the GCD of 288, 354, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.