GCD of 398, 850, 75, 718 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 398, 850, 75, 718 i.e. 1 largest integer that divides all the numbers equally.

GCD of 398, 850, 75, 718 is 1

GCD(398, 850, 75, 718) = 1

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

GCD of

GCD of numbers 398, 850, 75, 718 is 1

GCD(398, 850, 75, 718) = 1

GCD of 398,850,75,718 Calculator

GCDof 398,850,75,718 is 1

Given Input numbers are 398, 850, 75, 718

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 398, 850, 75, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 850, 75, 718 is 1.

Therefore, GCD of numbers 398, 850, 75, 718 is 1

Finding GCD of 398, 850, 75, 718 using Prime Factorization

Given Input Data is 398, 850, 75, 718

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 718 is 2 x 359

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

Finding GCD of 398, 850, 75, 718 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(398, 850) = 169150

GCD(398, 850) = ( 398 x 850 ) / 169150

GCD(398, 850) = 338300 / 169150

GCD(398, 850) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

GCD of 398, 850, 75, 718 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 398, 850, 75, 718

1. What is the GCD of 398, 850, 75, 718?

GCD of 398, 850, 75, 718 is 1


2. Where do I get the detailed procedure to find GCD of 398, 850, 75, 718?

You can find a detailed procedure to find GCD of 398, 850, 75, 718 on our page.


3. How to find GCD of 398, 850, 75, 718 on a calculator?

You can find the GCD of 398, 850, 75, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.