GCD of 278, 894, 462 Calculator

Given Input numbers are 278, 894, 462

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 278, 894, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 894, 462 is 2.

Therefore, GCD of numbers 278, 894, 462 is 2

Given Input Data is 278, 894, 462

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(278, 894) = 124266

GCD(278, 894) = ( 278 x 894 ) / 124266

GCD(278, 894) = 248532 / 124266

GCD(278, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 462

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

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

GCD(2, 462) = 924 / 462

GCD(2, 462) = 2

GCD of 278, 894, 462 is 2

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1. What is the GCD of 278, 894, 462?

GCD of 278, 894, 462 is 2

2. Where do I get the detailed procedure to find GCD of 278, 894, 462?

You can find a detailed procedure to find GCD of 278, 894, 462 on our page.

3. How to find GCD of 278, 894, 462 on a calculator?

You can find the GCD of 278, 894, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.