GCD of 64, 96, 54, 68 Calculator

Given Input numbers are 64, 96, 54, 68

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

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 68

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

1, 2, 4, 17, 34, 68

Greatest Common Divisior

We found the divisors of 64, 96, 54, 68 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 96, 54, 68 is 2.

Therefore, GCD of numbers 64, 96, 54, 68 is 2

Given Input Data is 64, 96, 54, 68

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 68 is 2 x 2 x 17

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(64, 96) = 192

GCD(64, 96) = ( 64 x 96 ) / 192

GCD(64, 96) = 6144 / 192

GCD(64, 96) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 54

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

LCM(32, 54) = 864

GCD(32, 54) = ( 32 x 54 ) / 864

GCD(32, 54) = 1728 / 864

GCD(32, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

GCD of 64, 96, 54, 68 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 78, 18, 10
• GCD of 53, 40, 43, 85
• GCD of 32, 54, 92, 41
• GCD of 66, 80, 68, 75
• GCD of 95, 65, 63, 94

1. What is the GCD of 64, 96, 54, 68?

GCD of 64, 96, 54, 68 is 2

2. Where do I get the detailed procedure to find GCD of 64, 96, 54, 68?

You can find a detailed procedure to find GCD of 64, 96, 54, 68 on our page.

3. How to find GCD of 64, 96, 54, 68 on a calculator?

You can find the GCD of 64, 96, 54, 68 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.