GCD of 750, 399, 188, 498 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 750, 399, 188, 498 i.e. 1 largest integer that divides all the numbers equally.

GCD of 750, 399, 188, 498 is 1

GCD(750, 399, 188, 498) = 1

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

GCD of

GCD of numbers 750, 399, 188, 498 is 1

GCD(750, 399, 188, 498) = 1

GCD of 750,399,188,498 Calculator

GCDof 750,399,188,498 is 1

Given Input numbers are 750, 399, 188, 498

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 750, 399, 188, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 399, 188, 498 is 1.

Therefore, GCD of numbers 750, 399, 188, 498 is 1

Finding GCD of 750, 399, 188, 498 using Prime Factorization

Given Input Data is 750, 399, 188, 498

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 498 is 2 x 3 x 83

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

Finding GCD of 750, 399, 188, 498 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(750, 399) = 99750

GCD(750, 399) = ( 750 x 399 ) / 99750

GCD(750, 399) = 299250 / 99750

GCD(750, 399) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 188

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

LCM(3, 188) = 564

GCD(3, 188) = ( 3 x 188 ) / 564

GCD(3, 188) = 564 / 564

GCD(3, 188) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 750, 399, 188, 498 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 750, 399, 188, 498

1. What is the GCD of 750, 399, 188, 498?

GCD of 750, 399, 188, 498 is 1


2. Where do I get the detailed procedure to find GCD of 750, 399, 188, 498?

You can find a detailed procedure to find GCD of 750, 399, 188, 498 on our page.


3. How to find GCD of 750, 399, 188, 498 on a calculator?

You can find the GCD of 750, 399, 188, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.