GCD of 332, 752, 52, 343 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 332, 752, 52, 343 i.e. 1 largest integer that divides all the numbers equally.

GCD of 332, 752, 52, 343 is 1

GCD(332, 752, 52, 343) = 1

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

GCD of

GCD of numbers 332, 752, 52, 343 is 1

GCD(332, 752, 52, 343) = 1

GCD of 332,752,52,343 Calculator

GCDof 332,752,52,343 is 1

Given Input numbers are 332, 752, 52, 343

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

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

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 52

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

1, 2, 4, 13, 26, 52

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 332, 752, 52, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 752, 52, 343 is 1.

Therefore, GCD of numbers 332, 752, 52, 343 is 1

Finding GCD of 332, 752, 52, 343 using Prime Factorization

Given Input Data is 332, 752, 52, 343

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

Prime Factorization of 332 is 2 x 2 x 83

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 343 is 7 x 7 x 7

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

Finding GCD of 332, 752, 52, 343 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(332, 752) = 62416

GCD(332, 752) = ( 332 x 752 ) / 62416

GCD(332, 752) = 249664 / 62416

GCD(332, 752) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 343

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

LCM(4, 343) = 1372

GCD(4, 343) = ( 4 x 343 ) / 1372

GCD(4, 343) = 1372 / 1372

GCD(4, 343) = 1

GCD of 332, 752, 52, 343 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 332, 752, 52, 343

1. What is the GCD of 332, 752, 52, 343?

GCD of 332, 752, 52, 343 is 1


2. Where do I get the detailed procedure to find GCD of 332, 752, 52, 343?

You can find a detailed procedure to find GCD of 332, 752, 52, 343 on our page.


3. How to find GCD of 332, 752, 52, 343 on a calculator?

You can find the GCD of 332, 752, 52, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.