GCD of 894, 302, 428 Calculator

Given Input numbers are 894, 302, 428

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 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 894, 302, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 302, 428 is 2.

Therefore, GCD of numbers 894, 302, 428 is 2

Given Input Data is 894, 302, 428

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 302 is 2 x 151

Prime Factorization of 428 is 2 x 2 x 107

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(894, 302) = 134994

GCD(894, 302) = ( 894 x 302 ) / 134994

GCD(894, 302) = 269988 / 134994

GCD(894, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 428

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

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

GCD(2, 428) = 856 / 428

GCD(2, 428) = 2

GCD of 894, 302, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 827, 951
• GCD of 646, 718, 637
• GCD of 775, 720, 582
• GCD of 454, 138, 475
• GCD of 714, 280, 992

1. What is the GCD of 894, 302, 428?

GCD of 894, 302, 428 is 2

2. Where do I get the detailed procedure to find GCD of 894, 302, 428?

You can find a detailed procedure to find GCD of 894, 302, 428 on our page.

3. How to find GCD of 894, 302, 428 on a calculator?

You can find the GCD of 894, 302, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.