GCD of 752, 812, 689, 751 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, 812, 689, 751 i.e. 1 largest integer that divides all the numbers equally.

GCD of 752, 812, 689, 751 is 1

GCD(752, 812, 689, 751) = 1

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

GCD of

GCD of numbers 752, 812, 689, 751 is 1

GCD(752, 812, 689, 751) = 1

GCD of 752,812,689,751 Calculator

GCDof 752,812,689,751 is 1

Given Input numbers are 752, 812, 689, 751

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 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 751

List of positive integer divisors of 751 that divides 751 without a remainder.

1, 751

Greatest Common Divisior

We found the divisors of 752, 812, 689, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 812, 689, 751 is 1.

Therefore, GCD of numbers 752, 812, 689, 751 is 1

Finding GCD of 752, 812, 689, 751 using Prime Factorization

Given Input Data is 752, 812, 689, 751

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 812 is 2 x 2 x 7 x 29

Prime Factorization of 689 is 13 x 53

Prime Factorization of 751 is 751

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 752, 812, 689, 751 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, 812) = 152656

GCD(752, 812) = ( 752 x 812 ) / 152656

GCD(752, 812) = 610624 / 152656

GCD(752, 812) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 689

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

LCM(4, 689) = 2756

GCD(4, 689) = ( 4 x 689 ) / 2756

GCD(4, 689) = 2756 / 2756

GCD(4, 689) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 751

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

LCM(1, 751) = 751

GCD(1, 751) = ( 1 x 751 ) / 751

GCD(1, 751) = 751 / 751

GCD(1, 751) = 1

GCD of 752, 812, 689, 751 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 752, 812, 689, 751

1. What is the GCD of 752, 812, 689, 751?

GCD of 752, 812, 689, 751 is 1


2. Where do I get the detailed procedure to find GCD of 752, 812, 689, 751?

You can find a detailed procedure to find GCD of 752, 812, 689, 751 on our page.


3. How to find GCD of 752, 812, 689, 751 on a calculator?

You can find the GCD of 752, 812, 689, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.