GCD of 398, 460, 952, 218 Calculator

Given Input numbers are 398, 460, 952, 218

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 398, 460, 952, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 460, 952, 218 is 2.

Therefore, GCD of numbers 398, 460, 952, 218 is 2

Given Input Data is 398, 460, 952, 218

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 218 is 2 x 109

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, 460) = 91540

GCD(398, 460) = ( 398 x 460 ) / 91540

GCD(398, 460) = 183080 / 91540

GCD(398, 460) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 952

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

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

GCD(2, 952) = 1904 / 952

GCD(2, 952) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 218

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

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

GCD(2, 218) = 436 / 218

GCD(2, 218) = 2

GCD of 398, 460, 952, 218 is 2

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1. What is the GCD of 398, 460, 952, 218?

GCD of 398, 460, 952, 218 is 2

2. Where do I get the detailed procedure to find GCD of 398, 460, 952, 218?

You can find a detailed procedure to find GCD of 398, 460, 952, 218 on our page.

3. How to find GCD of 398, 460, 952, 218 on a calculator?

You can find the GCD of 398, 460, 952, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.