GCD of 752, 299, 368, 138 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, 299, 368, 138 i.e. 1 largest integer that divides all the numbers equally.

GCD of 752, 299, 368, 138 is 1

GCD(752, 299, 368, 138) = 1

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

GCD of

GCD of numbers 752, 299, 368, 138 is 1

GCD(752, 299, 368, 138) = 1

GCD of 752,299,368,138 Calculator

GCDof 752,299,368,138 is 1

Given Input numbers are 752, 299, 368, 138

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 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 752, 299, 368, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 299, 368, 138 is 1.

Therefore, GCD of numbers 752, 299, 368, 138 is 1

Finding GCD of 752, 299, 368, 138 using Prime Factorization

Given Input Data is 752, 299, 368, 138

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 299 is 13 x 23

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 138 is 2 x 3 x 23

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

Finding GCD of 752, 299, 368, 138 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, 299) = 224848

GCD(752, 299) = ( 752 x 299 ) / 224848

GCD(752, 299) = 224848 / 224848

GCD(752, 299) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 752, 299, 368, 138 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 752, 299, 368, 138

1. What is the GCD of 752, 299, 368, 138?

GCD of 752, 299, 368, 138 is 1


2. Where do I get the detailed procedure to find GCD of 752, 299, 368, 138?

You can find a detailed procedure to find GCD of 752, 299, 368, 138 on our page.


3. How to find GCD of 752, 299, 368, 138 on a calculator?

You can find the GCD of 752, 299, 368, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.