GCD of 894, 270, 83, 232 Calculator

Given Input numbers are 894, 270, 83, 232

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 894, 270, 83, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 270, 83, 232 is 1.

Therefore, GCD of numbers 894, 270, 83, 232 is 1

Given Input Data is 894, 270, 83, 232

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 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 83 is 83

Prime Factorization of 232 is 2 x 2 x 2 x 29

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, 270) = 40230

GCD(894, 270) = ( 894 x 270 ) / 40230

GCD(894, 270) = 241380 / 40230

GCD(894, 270) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 83

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

LCM(6, 83) = 498

GCD(6, 83) = ( 6 x 83 ) / 498

GCD(6, 83) = 498 / 498

GCD(6, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 894, 270, 83, 232 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 624, 36, 924
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• GCD of 111, 130, 40, 738

1. What is the GCD of 894, 270, 83, 232?

GCD of 894, 270, 83, 232 is 1

2. Where do I get the detailed procedure to find GCD of 894, 270, 83, 232?

You can find a detailed procedure to find GCD of 894, 270, 83, 232 on our page.

3. How to find GCD of 894, 270, 83, 232 on a calculator?

You can find the GCD of 894, 270, 83, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.