GCD of 32, 68, 64 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 32, 68, 64 i.e. 4 largest integer that divides all the numbers equally.

GCD of 32, 68, 64 is 4

GCD(32, 68, 64) = 4

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 32, 68, 64 is 4

GCD(32, 68, 64) = 4

GCD of 32,68,64 Calculator

GCDof 32,68,64 is 4

Given Input numbers are 32, 68, 64

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

Divisors of 32

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

1, 2, 4, 8, 16, 32

Divisors of 68

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

1, 2, 4, 17, 34, 68

Divisors of 64

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

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

Greatest Common Divisior

We found the divisors of 32, 68, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 68, 64 is 4.

Therefore, GCD of numbers 32, 68, 64 is 4

Finding GCD of 32, 68, 64 using Prime Factorization

Given Input Data is 32, 68, 64

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

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 64 is 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

Finding GCD of 32, 68, 64 using LCM Formula

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(32, 68) = 544

GCD(32, 68) = ( 32 x 68 ) / 544

GCD(32, 68) = 2176 / 544

GCD(32, 68) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 64

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

LCM(4, 64) = 64

GCD(4, 64) = ( 4 x 64 ) / 64

GCD(4, 64) = 256 / 64

GCD(4, 64) = 4

GCD of 32, 68, 64 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 32, 68, 64

1. What is the GCD of 32, 68, 64?

GCD of 32, 68, 64 is 4

2. Where do I get the detailed procedure to find GCD of 32, 68, 64?

You can find a detailed procedure to find GCD of 32, 68, 64 on our page.

3. How to find GCD of 32, 68, 64 on a calculator?

You can find the GCD of 32, 68, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.