GCD of 496, 375, 998, 963 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 496, 375, 998, 963 i.e. 1 largest integer that divides all the numbers equally.

GCD of 496, 375, 998, 963 is 1

GCD(496, 375, 998, 963) = 1

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

GCD of

GCD of numbers 496, 375, 998, 963 is 1

GCD(496, 375, 998, 963) = 1

GCD of 496,375,998,963 Calculator

GCDof 496,375,998,963 is 1

Given Input numbers are 496, 375, 998, 963

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 998

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

1, 2, 499, 998

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 496, 375, 998, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 375, 998, 963 is 1.

Therefore, GCD of numbers 496, 375, 998, 963 is 1

Finding GCD of 496, 375, 998, 963 using Prime Factorization

Given Input Data is 496, 375, 998, 963

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 998 is 2 x 499

Prime Factorization of 963 is 3 x 3 x 107

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

Finding GCD of 496, 375, 998, 963 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(496, 375) = 186000

GCD(496, 375) = ( 496 x 375 ) / 186000

GCD(496, 375) = 186000 / 186000

GCD(496, 375) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 496, 375, 998, 963 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 496, 375, 998, 963

1. What is the GCD of 496, 375, 998, 963?

GCD of 496, 375, 998, 963 is 1


2. Where do I get the detailed procedure to find GCD of 496, 375, 998, 963?

You can find a detailed procedure to find GCD of 496, 375, 998, 963 on our page.


3. How to find GCD of 496, 375, 998, 963 on a calculator?

You can find the GCD of 496, 375, 998, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.