GCD of 398, 670, 230, 364 Calculator

Given Input numbers are 398, 670, 230, 364

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 398, 670, 230, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 670, 230, 364 is 2.

Therefore, GCD of numbers 398, 670, 230, 364 is 2

Given Input Data is 398, 670, 230, 364

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(398, 670) = 133330

GCD(398, 670) = ( 398 x 670 ) / 133330

GCD(398, 670) = 266660 / 133330

GCD(398, 670) = 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 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

GCD of 398, 670, 230, 364 is 2

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1. What is the GCD of 398, 670, 230, 364?

GCD of 398, 670, 230, 364 is 2

2. Where do I get the detailed procedure to find GCD of 398, 670, 230, 364?

You can find a detailed procedure to find GCD of 398, 670, 230, 364 on our page.

3. How to find GCD of 398, 670, 230, 364 on a calculator?

You can find the GCD of 398, 670, 230, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.