GCD of 64, 12, 78 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 64, 12, 78 i.e. 2 largest integer that divides all the numbers equally.

GCD of 64, 12, 78 is 2

GCD(64, 12, 78) = 2

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

GCD of

GCD of numbers 64, 12, 78 is 2

GCD(64, 12, 78) = 2

GCD of 64,12,78 Calculator

GCDof 64,12,78 is 2

Given Input numbers are 64, 12, 78

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 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Greatest Common Divisior

We found the divisors of 64, 12, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 12, 78 is 2.

Therefore, GCD of numbers 64, 12, 78 is 2

Finding GCD of 64, 12, 78 using Prime Factorization

Given Input Data is 64, 12, 78

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 12 is 2 x 2 x 3

Prime Factorization of 78 is 2 x 3 x 13

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 64, 12, 78 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(64, 12) = 192

GCD(64, 12) = ( 64 x 12 ) / 192

GCD(64, 12) = 768 / 192

GCD(64, 12) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2

GCD of 64, 12, 78 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 64, 12, 78

1. What is the GCD of 64, 12, 78?

GCD of 64, 12, 78 is 2

2. Where do I get the detailed procedure to find GCD of 64, 12, 78?

You can find a detailed procedure to find GCD of 64, 12, 78 on our page.

3. How to find GCD of 64, 12, 78 on a calculator?

You can find the GCD of 64, 12, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.