GCD of 752, 988, 64, 810 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 752, 988, 64, 810 i.e. 2 largest integer that divides all the numbers equally.

GCD of 752, 988, 64, 810 is 2

GCD(752, 988, 64, 810) = 2

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

GCD of

GCD of numbers 752, 988, 64, 810 is 2

GCD(752, 988, 64, 810) = 2

GCD of 752,988,64,810 Calculator

GCDof 752,988,64,810 is 2

Given Input numbers are 752, 988, 64, 810

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Greatest Common Divisior

We found the divisors of 752, 988, 64, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 988, 64, 810 is 2.

Therefore, GCD of numbers 752, 988, 64, 810 is 2

Finding GCD of 752, 988, 64, 810 using Prime Factorization

Given Input Data is 752, 988, 64, 810

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 988 is 2 x 2 x 13 x 19

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 752, 988, 64, 810 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(752, 988) = 185744

GCD(752, 988) = ( 752 x 988 ) / 185744

GCD(752, 988) = 742976 / 185744

GCD(752, 988) = 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


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 810

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

LCM(4, 810) = 1620

GCD(4, 810) = ( 4 x 810 ) / 1620

GCD(4, 810) = 3240 / 1620

GCD(4, 810) = 2

GCD of 752, 988, 64, 810 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 752, 988, 64, 810

1. What is the GCD of 752, 988, 64, 810?

GCD of 752, 988, 64, 810 is 2


2. Where do I get the detailed procedure to find GCD of 752, 988, 64, 810?

You can find a detailed procedure to find GCD of 752, 988, 64, 810 on our page.


3. How to find GCD of 752, 988, 64, 810 on a calculator?

You can find the GCD of 752, 988, 64, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.