GCD of 351, 555, 894 Calculator

Given Input numbers are 351, 555, 894

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 351, 555, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 555, 894 is 3.

Therefore, GCD of numbers 351, 555, 894 is 3

Given Input Data is 351, 555, 894

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 894 is 2 x 3 x 149

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(351, 555) = 64935

GCD(351, 555) = ( 351 x 555 ) / 64935

GCD(351, 555) = 194805 / 64935

GCD(351, 555) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 894

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

LCM(3, 894) = 894

GCD(3, 894) = ( 3 x 894 ) / 894

GCD(3, 894) = 2682 / 894

GCD(3, 894) = 3

GCD of 351, 555, 894 is 3

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1. What is the GCD of 351, 555, 894?

GCD of 351, 555, 894 is 3

2. Where do I get the detailed procedure to find GCD of 351, 555, 894?

You can find a detailed procedure to find GCD of 351, 555, 894 on our page.

3. How to find GCD of 351, 555, 894 on a calculator?

You can find the GCD of 351, 555, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.