GCD of 378, 452, 230, 232 Calculator

Given Input numbers are 378, 452, 230, 232

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

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 378, 452, 230, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 452, 230, 232 is 2.

Therefore, GCD of numbers 378, 452, 230, 232 is 2

Given Input Data is 378, 452, 230, 232

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 230 is 2 x 5 x 23

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

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(378, 452) = 85428

GCD(378, 452) = ( 378 x 452 ) / 85428

GCD(378, 452) = 170856 / 85428

GCD(378, 452) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 230

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

LCM(2, 230) = 230

GCD(2, 230) = ( 2 x 230 ) / 230

GCD(2, 230) = 460 / 230

GCD(2, 230) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 232

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

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

GCD(2, 232) = 464 / 232

GCD(2, 232) = 2

GCD of 378, 452, 230, 232 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 191, 896, 949
• GCD of 352, 407, 150, 498
• GCD of 157, 662, 708, 594
• GCD of 190, 549, 242, 242
• GCD of 179, 434, 984, 325

1. What is the GCD of 378, 452, 230, 232?

GCD of 378, 452, 230, 232 is 2

2. Where do I get the detailed procedure to find GCD of 378, 452, 230, 232?

You can find a detailed procedure to find GCD of 378, 452, 230, 232 on our page.

3. How to find GCD of 378, 452, 230, 232 on a calculator?

You can find the GCD of 378, 452, 230, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.