GCD of 762, 378, 82, 732 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 762, 378, 82, 732 i.e. 2 largest integer that divides all the numbers equally.

GCD of 762, 378, 82, 732 is 2

GCD(762, 378, 82, 732) = 2

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

GCD of

GCD of numbers 762, 378, 82, 732 is 2

GCD(762, 378, 82, 732) = 2

GCD of 762,378,82,732 Calculator

GCDof 762,378,82,732 is 2

Given Input numbers are 762, 378, 82, 732

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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

Greatest Common Divisior

We found the divisors of 762, 378, 82, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 378, 82, 732 is 2.

Therefore, GCD of numbers 762, 378, 82, 732 is 2

Finding GCD of 762, 378, 82, 732 using Prime Factorization

Given Input Data is 762, 378, 82, 732

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 82 is 2 x 41

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

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 762, 378, 82, 732 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(762, 378) = 48006

GCD(762, 378) = ( 762 x 378 ) / 48006

GCD(762, 378) = 288036 / 48006

GCD(762, 378) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 82

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

LCM(6, 82) = 246

GCD(6, 82) = ( 6 x 82 ) / 246

GCD(6, 82) = 492 / 246

GCD(6, 82) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 732

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

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

GCD(2, 732) = 1464 / 732

GCD(2, 732) = 2

GCD of 762, 378, 82, 732 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 762, 378, 82, 732

1. What is the GCD of 762, 378, 82, 732?

GCD of 762, 378, 82, 732 is 2


2. Where do I get the detailed procedure to find GCD of 762, 378, 82, 732?

You can find a detailed procedure to find GCD of 762, 378, 82, 732 on our page.


3. How to find GCD of 762, 378, 82, 732 on a calculator?

You can find the GCD of 762, 378, 82, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.