GCD of 172, 244, 86, 398 Calculator

Given Input numbers are 172, 244, 86, 398

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 244

List of positive integer divisors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 398

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

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 172, 244, 86, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 244, 86, 398 is 2.

Therefore, GCD of numbers 172, 244, 86, 398 is 2

Given Input Data is 172, 244, 86, 398

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 244 is 2 x 2 x 61

Prime Factorization of 86 is 2 x 43

Prime Factorization of 398 is 2 x 199

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(172, 244) = 10492

GCD(172, 244) = ( 172 x 244 ) / 10492

GCD(172, 244) = 41968 / 10492

GCD(172, 244) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 86

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

LCM(4, 86) = 172

GCD(4, 86) = ( 4 x 86 ) / 172

GCD(4, 86) = 344 / 172

GCD(4, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

GCD of 172, 244, 86, 398 is 2

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1. What is the GCD of 172, 244, 86, 398?

GCD of 172, 244, 86, 398 is 2

2. Where do I get the detailed procedure to find GCD of 172, 244, 86, 398?

You can find a detailed procedure to find GCD of 172, 244, 86, 398 on our page.

3. How to find GCD of 172, 244, 86, 398 on a calculator?

You can find the GCD of 172, 244, 86, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.