GCD of 732, 732, 48, 381 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 732, 732, 48, 381 i.e. 3 largest integer that divides all the numbers equally.

GCD of 732, 732, 48, 381 is 3

GCD(732, 732, 48, 381) = 3

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

GCD of

GCD of numbers 732, 732, 48, 381 is 3

GCD(732, 732, 48, 381) = 3

GCD of 732,732,48,381 Calculator

GCDof 732,732,48,381 is 3

Given Input numbers are 732, 732, 48, 381

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 732, 732, 48, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 732, 48, 381 is 3.

Therefore, GCD of numbers 732, 732, 48, 381 is 3

Finding GCD of 732, 732, 48, 381 using Prime Factorization

Given Input Data is 732, 732, 48, 381

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 381 is 3 x 127

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 732, 732, 48, 381 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(732, 732) = 732

GCD(732, 732) = ( 732 x 732 ) / 732

GCD(732, 732) = 535824 / 732

GCD(732, 732) = 732


Step2:

Here we consider the GCD from the above i.e. 732 as first number and the next as 48

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

LCM(732, 48) = 2928

GCD(732, 48) = ( 732 x 48 ) / 2928

GCD(732, 48) = 35136 / 2928

GCD(732, 48) = 12


Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 381

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

LCM(12, 381) = 1524

GCD(12, 381) = ( 12 x 381 ) / 1524

GCD(12, 381) = 4572 / 1524

GCD(12, 381) = 3

GCD of 732, 732, 48, 381 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 732, 732, 48, 381

1. What is the GCD of 732, 732, 48, 381?

GCD of 732, 732, 48, 381 is 3


2. Where do I get the detailed procedure to find GCD of 732, 732, 48, 381?

You can find a detailed procedure to find GCD of 732, 732, 48, 381 on our page.


3. How to find GCD of 732, 732, 48, 381 on a calculator?

You can find the GCD of 732, 732, 48, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.