GCD of 128, 912, 272, 668 Calculator

Given Input numbers are 128, 912, 272, 668

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 128, 912, 272, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 912, 272, 668 is 4.

Therefore, GCD of numbers 128, 912, 272, 668 is 4

Given Input Data is 128, 912, 272, 668

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

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 668 is 2 x 2 x 167

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(128, 912) = 7296

GCD(128, 912) = ( 128 x 912 ) / 7296

GCD(128, 912) = 116736 / 7296

GCD(128, 912) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 272

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

LCM(16, 272) = 272

GCD(16, 272) = ( 16 x 272 ) / 272

GCD(16, 272) = 4352 / 272

GCD(16, 272) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 668

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

LCM(16, 668) = 2672

GCD(16, 668) = ( 16 x 668 ) / 2672

GCD(16, 668) = 10688 / 2672

GCD(16, 668) = 4

GCD of 128, 912, 272, 668 is 4

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1. What is the GCD of 128, 912, 272, 668?

GCD of 128, 912, 272, 668 is 4

2. Where do I get the detailed procedure to find GCD of 128, 912, 272, 668?

You can find a detailed procedure to find GCD of 128, 912, 272, 668 on our page.

3. How to find GCD of 128, 912, 272, 668 on a calculator?

You can find the GCD of 128, 912, 272, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.