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GCD of 480, 635, 255, 489 Calculator

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


Online GCD Calculator is useful to find the GCD of 480, 635, 255, 489 quickly. Get the easiest ways to solve the greatest common divisor of 480, 635, 255, 489 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 635, 255, 489 with Factoring?

Given Input numbers are 480, 635, 255, 489

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 635 :

The positive integer divisors of 635 that completely divides 635 are.

1, 5, 127, 635

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 489 :

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

1, 3, 163, 489


GCD of numbers is the greatest common divisor

So, the GCD (480, 635, 255, 489) = 1.

Find GCD of 480, 635, 255, 489 using Prime Factorization

Given numbers are 480, 635, 255, 489

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 635 are 5 x 127

Prime factors of 255 are 3 x 5 x 17

Prime factors of 489 are 3 x 163

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

Steps to Calculate GCD of 480, 635, 255, 489 using LCM Formula

Given numbers are 480, 635, 255, 489

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

Apply this formula for all numbers.

Step1:

LCM(480, 635) = 60960

GCD(480, 635) = ( 480 x 635 ) / 60960

= 480 / 635

= 480


Step2:

LCM(5, 255) = 255

GCD(5, 255) = ( 5 x 255 ) / 255

= 5 / 255

= 5


Step3:

LCM(5, 489) = 2445

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

= 5 / 489

= 5


So, Greatest Common Divisor of 480, 635, 255, 489 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 635, 255, 489

Given numbers are 480, 635, 255, 489
The greatest common divisor of numbers 480, 635, 255, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 635, 255, 489 is 1.

FAQs on GCD of 480, 635, 255, 489 Calculator

1. What is the GCD of 480, 635, 255, 489?

GCD of given numbers 480, 635, 255, 489 is 1


2. How to calculate the greatest common divisor of 480, 635, 255, 489?

We can find the highest common divisor of 480, 635, 255, 489 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 480, 635, 255, 489 i.e 1.


3. How can I use the GCD of 480, 635, 255, 489Calculator?

Out the numbers 480, 635, 255, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.