GCD of 894, 472, 169 Calculator

Given Input numbers are 894, 472, 169

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

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 894, 472, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 472, 169 is 1.

Therefore, GCD of numbers 894, 472, 169 is 1

Given Input Data is 894, 472, 169

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 169 is 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

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(894, 472) = 210984

GCD(894, 472) = ( 894 x 472 ) / 210984

GCD(894, 472) = 421968 / 210984

GCD(894, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 169

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

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

GCD(2, 169) = 338 / 338

GCD(2, 169) = 1

GCD of 894, 472, 169 is 1

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1. What is the GCD of 894, 472, 169?

GCD of 894, 472, 169 is 1

2. Where do I get the detailed procedure to find GCD of 894, 472, 169?

You can find a detailed procedure to find GCD of 894, 472, 169 on our page.

3. How to find GCD of 894, 472, 169 on a calculator?

You can find the GCD of 894, 472, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.