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GCD of 486, 464, 489, 505 Calculator

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


Online GCD Calculator is useful to find the GCD of 486, 464, 489, 505 quickly. Get the easiest ways to solve the greatest common divisor of 486, 464, 489, 505 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 486, 464, 489, 505 with Factoring?

Given Input numbers are 486, 464, 489, 505

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

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505


GCD of numbers is the greatest common divisor

So, the GCD (486, 464, 489, 505) = 1.

Find GCD of 486, 464, 489, 505 using Prime Factorization

Given numbers are 486, 464, 489, 505

The list of prime factors of all numbers are

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 489 are 3 x 163

Prime factors of 505 are 5 x 101

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

Steps to Calculate GCD of 486, 464, 489, 505 using LCM Formula

Given numbers are 486, 464, 489, 505

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

Apply this formula for all numbers.

Step1:

LCM(486, 464) = 112752

GCD(486, 464) = ( 486 x 464 ) / 112752

= 486 / 464

= 486


Step2:

LCM(2, 489) = 978

GCD(2, 489) = ( 2 x 489 ) / 978

= 2 / 489

= 2


Step3:

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

= 1 / 505

= 1


So, Greatest Common Divisor of 486, 464, 489, 505 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 486, 464, 489, 505

Given numbers are 486, 464, 489, 505
The greatest common divisor of numbers 486, 464, 489, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 464, 489, 505 is 1.

FAQs on GCD of 486, 464, 489, 505 Calculator

1. What is the GCD of 486, 464, 489, 505?

GCD of given numbers 486, 464, 489, 505 is 1


2. How to calculate the greatest common divisor of 486, 464, 489, 505?

We can find the highest common divisor of 486, 464, 489, 505 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 486, 464, 489, 505 i.e 1.


3. How can I use the GCD of 486, 464, 489, 505Calculator?

Out the numbers 486, 464, 489, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.