GCD of 398, 352, 875 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, 352, 875 i.e. 1 largest integer that divides all the numbers equally.

GCD of 398, 352, 875 is 1

GCD(398, 352, 875) = 1

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

GCD of

GCD of numbers 398, 352, 875 is 1

GCD(398, 352, 875) = 1

GCD of 398,352,875 Calculator

GCDof 398,352,875 is 1

Given Input numbers are 398, 352, 875

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 398, 352, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 352, 875 is 1.

Therefore, GCD of numbers 398, 352, 875 is 1

Finding GCD of 398, 352, 875 using Prime Factorization

Given Input Data is 398, 352, 875

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 875 is 5 x 5 x 5 x 7

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

Finding GCD of 398, 352, 875 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, 352) = 70048

GCD(398, 352) = ( 398 x 352 ) / 70048

GCD(398, 352) = 140096 / 70048

GCD(398, 352) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 875

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

LCM(2, 875) = 1750

GCD(2, 875) = ( 2 x 875 ) / 1750

GCD(2, 875) = 1750 / 1750

GCD(2, 875) = 1

GCD of 398, 352, 875 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 398, 352, 875

1. What is the GCD of 398, 352, 875?

GCD of 398, 352, 875 is 1


2. Where do I get the detailed procedure to find GCD of 398, 352, 875?

You can find a detailed procedure to find GCD of 398, 352, 875 on our page.


3. How to find GCD of 398, 352, 875 on a calculator?

You can find the GCD of 398, 352, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.