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GCD of 465, 321, 493, 487 Calculator

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


Online GCD Calculator is useful to find the GCD of 465, 321, 493, 487 quickly. Get the easiest ways to solve the greatest common divisor of 465, 321, 493, 487 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 465, 321, 493, 487 with Factoring?

Given Input numbers are 465, 321, 493, 487

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487


GCD of numbers is the greatest common divisor

So, the GCD (465, 321, 493, 487) = 1.

Find GCD of 465, 321, 493, 487 using Prime Factorization

Given numbers are 465, 321, 493, 487

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 321 are 3 x 107

Prime factors of 493 are 17 x 29

Prime factors of 487 are 487

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

Steps to Calculate GCD of 465, 321, 493, 487 using LCM Formula

Given numbers are 465, 321, 493, 487

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

Apply this formula for all numbers.

Step1:

LCM(465, 321) = 49755

GCD(465, 321) = ( 465 x 321 ) / 49755

= 465 / 321

= 465


Step2:

LCM(3, 493) = 1479

GCD(3, 493) = ( 3 x 493 ) / 1479

= 3 / 493

= 3


Step3:

LCM(1, 487) = 487

GCD(1, 487) = ( 1 x 487 ) / 487

= 1 / 487

= 1


So, Greatest Common Divisor of 465, 321, 493, 487 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 465, 321, 493, 487

Given numbers are 465, 321, 493, 487
The greatest common divisor of numbers 465, 321, 493, 487 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 321, 493, 487 is 1.

FAQs on GCD of 465, 321, 493, 487 Calculator

1. What is the GCD of 465, 321, 493, 487?

GCD of given numbers 465, 321, 493, 487 is 1


2. How to calculate the greatest common divisor of 465, 321, 493, 487?

We can find the highest common divisor of 465, 321, 493, 487 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 465, 321, 493, 487 i.e 1.


3. How can I use the GCD of 465, 321, 493, 487Calculator?

Out the numbers 465, 321, 493, 487 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.