GCD of 350, 522, 894 Calculator

Given Input numbers are 350, 522, 894

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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 350, 522, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 522, 894 is 2.

Therefore, GCD of numbers 350, 522, 894 is 2

Given Input Data is 350, 522, 894

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 894 is 2 x 3 x 149

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(350, 522) = 91350

GCD(350, 522) = ( 350 x 522 ) / 91350

GCD(350, 522) = 182700 / 91350

GCD(350, 522) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

GCD of 350, 522, 894 is 2

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1. What is the GCD of 350, 522, 894?

GCD of 350, 522, 894 is 2

2. Where do I get the detailed procedure to find GCD of 350, 522, 894?

You can find a detailed procedure to find GCD of 350, 522, 894 on our page.

3. How to find GCD of 350, 522, 894 on a calculator?

You can find the GCD of 350, 522, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.