GCD of 52, 56, 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 52, 56, 64 i.e. 4 largest integer that divides all the numbers equally.

GCD of 52, 56, 64 is 4

GCD(52, 56, 64) = 4

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

GCD of

GCD of numbers 52, 56, 64 is 4

GCD(52, 56, 64) = 4

GCD of 52,56,64 Calculator

GCDof 52,56,64 is 4

Given Input numbers are 52, 56, 64

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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 52, 56, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 56, 64 is 4.

Therefore, GCD of numbers 52, 56, 64 is 4

Finding GCD of 52, 56, 64 using Prime Factorization

Given Input Data is 52, 56, 64

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 56 is 2 x 2 x 2 x 7

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 52, 56, 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(52, 56) = 728

GCD(52, 56) = ( 52 x 56 ) / 728

GCD(52, 56) = 2912 / 728

GCD(52, 56) = 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 52, 56, 64 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 52, 56, 64

1. What is the GCD of 52, 56, 64?

GCD of 52, 56, 64 is 4

2. Where do I get the detailed procedure to find GCD of 52, 56, 64?

You can find a detailed procedure to find GCD of 52, 56, 64 on our page.

3. How to find GCD of 52, 56, 64 on a calculator?

You can find the GCD of 52, 56, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.