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GCD of 480, 758, 809 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, 758, 809 quickly. Get the easiest ways to solve the greatest common divisor of 480, 758, 809 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 758, 809 with Factoring?

Given Input numbers are 480, 758, 809

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 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809


GCD of numbers is the greatest common divisor

So, the GCD (480, 758, 809) = 1.

Find GCD of 480, 758, 809 using Prime Factorization

Given numbers are 480, 758, 809

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 758 are 2 x 379

Prime factors of 809 are 809

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

Steps to Calculate GCD of 480, 758, 809 using LCM Formula

Given numbers are 480, 758, 809

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

Apply this formula for all numbers.

Step1:

LCM(480, 758) = 181920

GCD(480, 758) = ( 480 x 758 ) / 181920

= 480 / 758

= 480


Step2:

LCM(2, 809) = 1618

GCD(2, 809) = ( 2 x 809 ) / 1618

= 2 / 809

= 2


So, Greatest Common Divisor of 480, 758, 809 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 758, 809

Given numbers are 480, 758, 809
The greatest common divisor of numbers 480, 758, 809 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 758, 809 is 1.

FAQs on GCD of 480, 758, 809 Calculator

1. What is the GCD of 480, 758, 809?

GCD of given numbers 480, 758, 809 is 1


2. How to calculate the greatest common divisor of 480, 758, 809?

We can find the highest common divisor of 480, 758, 809 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, 758, 809 i.e 1.


3. How can I use the GCD of 480, 758, 809Calculator?

Out the numbers 480, 758, 809 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.