GCD of 960, 484, 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 960, 484, 64 i.e. 4 largest integer that divides all the numbers equally.

GCD of 960, 484, 64 is 4

GCD(960, 484, 64) = 4

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

GCD of

GCD of numbers 960, 484, 64 is 4

GCD(960, 484, 64) = 4

GCD of 960,484,64 Calculator

GCDof 960,484,64 is 4

Given Input numbers are 960, 484, 64

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

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 960, 484, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 484, 64 is 4.

Therefore, GCD of numbers 960, 484, 64 is 4

Finding GCD of 960, 484, 64 using Prime Factorization

Given Input Data is 960, 484, 64

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 484 is 2 x 2 x 11 x 11

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 960, 484, 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(960, 484) = 116160

GCD(960, 484) = ( 960 x 484 ) / 116160

GCD(960, 484) = 464640 / 116160

GCD(960, 484) = 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 960, 484, 64 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 960, 484, 64

1. What is the GCD of 960, 484, 64?

GCD of 960, 484, 64 is 4


2. Where do I get the detailed procedure to find GCD of 960, 484, 64?

You can find a detailed procedure to find GCD of 960, 484, 64 on our page.


3. How to find GCD of 960, 484, 64 on a calculator?

You can find the GCD of 960, 484, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.