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GCD of 489, 325, 242, 193 Calculator

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


Online GCD Calculator is useful to find the GCD of 489, 325, 242, 193 quickly. Get the easiest ways to solve the greatest common divisor of 489, 325, 242, 193 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 489, 325, 242, 193 with Factoring?

Given Input numbers are 489, 325, 242, 193

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

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 193 :

The positive integer divisors of 193 that completely divides 193 are.

1, 193


GCD of numbers is the greatest common divisor

So, the GCD (489, 325, 242, 193) = 1.

Find GCD of 489, 325, 242, 193 using Prime Factorization

Given numbers are 489, 325, 242, 193

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 325 are 5 x 5 x 13

Prime factors of 242 are 2 x 11 x 11

Prime factors of 193 are 193

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

Steps to Calculate GCD of 489, 325, 242, 193 using LCM Formula

Given numbers are 489, 325, 242, 193

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

Apply this formula for all numbers.

Step1:

LCM(489, 325) = 158925

GCD(489, 325) = ( 489 x 325 ) / 158925

= 489 / 325

= 489


Step2:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1


Step3:

LCM(1, 193) = 193

GCD(1, 193) = ( 1 x 193 ) / 193

= 1 / 193

= 1


So, Greatest Common Divisor of 489, 325, 242, 193 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 489, 325, 242, 193

Given numbers are 489, 325, 242, 193
The greatest common divisor of numbers 489, 325, 242, 193 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 325, 242, 193 is 1.

FAQs on GCD of 489, 325, 242, 193 Calculator

1. What is the GCD of 489, 325, 242, 193?

GCD of given numbers 489, 325, 242, 193 is 1


2. How to calculate the greatest common divisor of 489, 325, 242, 193?

We can find the highest common divisor of 489, 325, 242, 193 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 489, 325, 242, 193 i.e 1.


3. How can I use the GCD of 489, 325, 242, 193Calculator?

Out the numbers 489, 325, 242, 193 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.