GCD of 989, 632, 195, 523 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 989, 632, 195, 523 i.e. 1 largest integer that divides all the numbers equally.

GCD of 989, 632, 195, 523 is 1

GCD(989, 632, 195, 523) = 1

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

GCD of

GCD of numbers 989, 632, 195, 523 is 1

GCD(989, 632, 195, 523) = 1

GCD of 989,632,195,523 Calculator

GCDof 989,632,195,523 is 1

Given Input numbers are 989, 632, 195, 523

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 989, 632, 195, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 632, 195, 523 is 1.

Therefore, GCD of numbers 989, 632, 195, 523 is 1

Finding GCD of 989, 632, 195, 523 using Prime Factorization

Given Input Data is 989, 632, 195, 523

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 523 is 523

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

Finding GCD of 989, 632, 195, 523 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(989, 632) = 625048

GCD(989, 632) = ( 989 x 632 ) / 625048

GCD(989, 632) = 625048 / 625048

GCD(989, 632) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 195

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

LCM(1, 195) = 195

GCD(1, 195) = ( 1 x 195 ) / 195

GCD(1, 195) = 195 / 195

GCD(1, 195) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 989, 632, 195, 523 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 989, 632, 195, 523

1. What is the GCD of 989, 632, 195, 523?

GCD of 989, 632, 195, 523 is 1


2. Where do I get the detailed procedure to find GCD of 989, 632, 195, 523?

You can find a detailed procedure to find GCD of 989, 632, 195, 523 on our page.


3. How to find GCD of 989, 632, 195, 523 on a calculator?

You can find the GCD of 989, 632, 195, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.