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GCD of 489, 421, 337, 257 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, 421, 337, 257 quickly. Get the easiest ways to solve the greatest common divisor of 489, 421, 337, 257 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 489, 421, 337, 257 with Factoring?

Given Input numbers are 489, 421, 337, 257

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 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 337 :

The positive integer divisors of 337 that completely divides 337 are.

1, 337

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257


GCD of numbers is the greatest common divisor

So, the GCD (489, 421, 337, 257) = 1.

Find GCD of 489, 421, 337, 257 using Prime Factorization

Given numbers are 489, 421, 337, 257

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 421 are 421

Prime factors of 337 are 337

Prime factors of 257 are 257

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

Steps to Calculate GCD of 489, 421, 337, 257 using LCM Formula

Given numbers are 489, 421, 337, 257

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

Apply this formula for all numbers.

Step1:

LCM(489, 421) = 205869

GCD(489, 421) = ( 489 x 421 ) / 205869

= 489 / 421

= 489


Step2:

LCM(1, 337) = 337

GCD(1, 337) = ( 1 x 337 ) / 337

= 1 / 337

= 1


Step3:

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

= 1 / 257

= 1


So, Greatest Common Divisor of 489, 421, 337, 257 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 489, 421, 337, 257

Given numbers are 489, 421, 337, 257
The greatest common divisor of numbers 489, 421, 337, 257 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 421, 337, 257 is 1.

FAQs on GCD of 489, 421, 337, 257 Calculator

1. What is the GCD of 489, 421, 337, 257?

GCD of given numbers 489, 421, 337, 257 is 1


2. How to calculate the greatest common divisor of 489, 421, 337, 257?

We can find the highest common divisor of 489, 421, 337, 257 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, 421, 337, 257 i.e 1.


3. How can I use the GCD of 489, 421, 337, 257Calculator?

Out the numbers 489, 421, 337, 257 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.