GCD of 422, 894, 504, 694 Calculator

Given Input numbers are 422, 894, 504, 694

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 894

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

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 422, 894, 504, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 894, 504, 694 is 2.

Therefore, GCD of numbers 422, 894, 504, 694 is 2

Given Input Data is 422, 894, 504, 694

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 694 is 2 x 347

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(422, 894) = 188634

GCD(422, 894) = ( 422 x 894 ) / 188634

GCD(422, 894) = 377268 / 188634

GCD(422, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

GCD of 422, 894, 504, 694 is 2

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1. What is the GCD of 422, 894, 504, 694?

GCD of 422, 894, 504, 694 is 2

2. Where do I get the detailed procedure to find GCD of 422, 894, 504, 694?

You can find a detailed procedure to find GCD of 422, 894, 504, 694 on our page.

3. How to find GCD of 422, 894, 504, 694 on a calculator?

You can find the GCD of 422, 894, 504, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.