GCD of 320, 886, 48, 168 Calculator

Given Input numbers are 320, 886, 48, 168

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Greatest Common Divisior

We found the divisors of 320, 886, 48, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 886, 48, 168 is 2.

Therefore, GCD of numbers 320, 886, 48, 168 is 2

Given Input Data is 320, 886, 48, 168

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 886 is 2 x 443

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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(320, 886) = 141760

GCD(320, 886) = ( 320 x 886 ) / 141760

GCD(320, 886) = 283520 / 141760

GCD(320, 886) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 168

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

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

GCD(2, 168) = 336 / 168

GCD(2, 168) = 2

GCD of 320, 886, 48, 168 is 2

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1. What is the GCD of 320, 886, 48, 168?

GCD of 320, 886, 48, 168 is 2

2. Where do I get the detailed procedure to find GCD of 320, 886, 48, 168?

You can find a detailed procedure to find GCD of 320, 886, 48, 168 on our page.

3. How to find GCD of 320, 886, 48, 168 on a calculator?

You can find the GCD of 320, 886, 48, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.