GCD of 320, 114, 32, 302 Calculator

Given Input numbers are 320, 114, 32, 302

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 320, 114, 32, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 114, 32, 302 is 2.

Therefore, GCD of numbers 320, 114, 32, 302 is 2

Given Input Data is 320, 114, 32, 302

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 114 is 2 x 3 x 19

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 302 is 2 x 151

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, 114) = 18240

GCD(320, 114) = ( 320 x 114 ) / 18240

GCD(320, 114) = 36480 / 18240

GCD(320, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 302

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

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

GCD(2, 302) = 604 / 302

GCD(2, 302) = 2

GCD of 320, 114, 32, 302 is 2

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1. What is the GCD of 320, 114, 32, 302?

GCD of 320, 114, 32, 302 is 2

2. Where do I get the detailed procedure to find GCD of 320, 114, 32, 302?

You can find a detailed procedure to find GCD of 320, 114, 32, 302 on our page.

3. How to find GCD of 320, 114, 32, 302 on a calculator?

You can find the GCD of 320, 114, 32, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.