GCD of 68, 704, 396, 128 Calculator

Given Input numbers are 68, 704, 396, 128

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 128

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

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

Greatest Common Divisior

We found the divisors of 68, 704, 396, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 704, 396, 128 is 4.

Therefore, GCD of numbers 68, 704, 396, 128 is 4

Given Input Data is 68, 704, 396, 128

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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

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(68, 704) = 11968

GCD(68, 704) = ( 68 x 704 ) / 11968

GCD(68, 704) = 47872 / 11968

GCD(68, 704) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 396

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

LCM(4, 396) = 396

GCD(4, 396) = ( 4 x 396 ) / 396

GCD(4, 396) = 1584 / 396

GCD(4, 396) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 128

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

LCM(4, 128) = 128

GCD(4, 128) = ( 4 x 128 ) / 128

GCD(4, 128) = 512 / 128

GCD(4, 128) = 4

GCD of 68, 704, 396, 128 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 293, 855, 275
• GCD of 95, 626, 817, 756
• GCD of 73, 777, 246, 858
• GCD of 12, 717, 432, 200
• GCD of 11, 882, 756, 810

1. What is the GCD of 68, 704, 396, 128?

GCD of 68, 704, 396, 128 is 4

2. Where do I get the detailed procedure to find GCD of 68, 704, 396, 128?

You can find a detailed procedure to find GCD of 68, 704, 396, 128 on our page.

3. How to find GCD of 68, 704, 396, 128 on a calculator?

You can find the GCD of 68, 704, 396, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.