GCD of 998, 235, 427, 145 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 998, 235, 427, 145 i.e. 1 largest integer that divides all the numbers equally.

GCD of 998, 235, 427, 145 is 1

GCD(998, 235, 427, 145) = 1

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

GCD of

GCD of numbers 998, 235, 427, 145 is 1

GCD(998, 235, 427, 145) = 1

GCD of 998,235,427,145 Calculator

GCDof 998,235,427,145 is 1

Given Input numbers are 998, 235, 427, 145

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 998, 235, 427, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 235, 427, 145 is 1.

Therefore, GCD of numbers 998, 235, 427, 145 is 1

Finding GCD of 998, 235, 427, 145 using Prime Factorization

Given Input Data is 998, 235, 427, 145

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 235 is 5 x 47

Prime Factorization of 427 is 7 x 61

Prime Factorization of 145 is 5 x 29

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

Finding GCD of 998, 235, 427, 145 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(998, 235) = 234530

GCD(998, 235) = ( 998 x 235 ) / 234530

GCD(998, 235) = 234530 / 234530

GCD(998, 235) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 998, 235, 427, 145 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 998, 235, 427, 145

1. What is the GCD of 998, 235, 427, 145?

GCD of 998, 235, 427, 145 is 1


2. Where do I get the detailed procedure to find GCD of 998, 235, 427, 145?

You can find a detailed procedure to find GCD of 998, 235, 427, 145 on our page.


3. How to find GCD of 998, 235, 427, 145 on a calculator?

You can find the GCD of 998, 235, 427, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.