GCD of 320, 954, 336, 188 Calculator

Given Input numbers are 320, 954, 336, 188

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 320, 954, 336, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 954, 336, 188 is 2.

Therefore, GCD of numbers 320, 954, 336, 188 is 2

Given Input Data is 320, 954, 336, 188

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 954 is 2 x 3 x 3 x 53

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 188 is 2 x 2 x 47

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, 954) = 152640

GCD(320, 954) = ( 320 x 954 ) / 152640

GCD(320, 954) = 305280 / 152640

GCD(320, 954) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 336

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

LCM(2, 336) = 336

GCD(2, 336) = ( 2 x 336 ) / 336

GCD(2, 336) = 672 / 336

GCD(2, 336) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 188

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

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

GCD(2, 188) = 376 / 188

GCD(2, 188) = 2

GCD of 320, 954, 336, 188 is 2

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1. What is the GCD of 320, 954, 336, 188?

GCD of 320, 954, 336, 188 is 2

2. Where do I get the detailed procedure to find GCD of 320, 954, 336, 188?

You can find a detailed procedure to find GCD of 320, 954, 336, 188 on our page.

3. How to find GCD of 320, 954, 336, 188 on a calculator?

You can find the GCD of 320, 954, 336, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.