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GCD of 100, 115, 489, 326 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 100, 115, 489, 326 quickly. Get the easiest ways to solve the greatest common divisor of 100, 115, 489, 326 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 100, 115, 489, 326 with Factoring?

Given Input numbers are 100, 115, 489, 326

In the factoring method, we have to find the divisors of all numbers

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326


GCD of numbers is the greatest common divisor

So, the GCD (100, 115, 489, 326) = 1.

Find GCD of 100, 115, 489, 326 using Prime Factorization

Given numbers are 100, 115, 489, 326

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 115 are 5 x 23

Prime factors of 489 are 3 x 163

Prime factors of 326 are 2 x 163

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

Steps to Calculate GCD of 100, 115, 489, 326 using LCM Formula

Given numbers are 100, 115, 489, 326

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(100, 115) = 2300

GCD(100, 115) = ( 100 x 115 ) / 2300

= 100 / 115

= 100


Step2:

LCM(5, 489) = 2445

GCD(5, 489) = ( 5 x 489 ) / 2445

= 5 / 489

= 5


Step3:

LCM(1, 326) = 326

GCD(1, 326) = ( 1 x 326 ) / 326

= 1 / 326

= 1


So, Greatest Common Divisor of 100, 115, 489, 326 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 100, 115, 489, 326

Given numbers are 100, 115, 489, 326
The greatest common divisor of numbers 100, 115, 489, 326 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 115, 489, 326 is 1.

FAQs on GCD of 100, 115, 489, 326 Calculator

1. What is the GCD of 100, 115, 489, 326?

GCD of given numbers 100, 115, 489, 326 is 1


2. How to calculate the greatest common divisor of 100, 115, 489, 326?

We can find the highest common divisor of 100, 115, 489, 326 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 100, 115, 489, 326 i.e 1.


3. How can I use the GCD of 100, 115, 489, 326Calculator?

Out the numbers 100, 115, 489, 326 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.