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GCD of 308, 500, 585 Calculator

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

Online GCD Calculator is useful to find the GCD of 308, 500, 585 quickly. Get the easiest ways to solve the greatest common divisor of 308, 500, 585 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 308, 500, 585 with Factoring?

Given Input numbers are 308, 500, 585

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585


GCD of numbers is the greatest common divisor

So, the GCD (308, 500, 585) = 1.

Find GCD of 308, 500, 585 using Prime Factorization

Given numbers are 308, 500, 585

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 585 are 3 x 3 x 5 x 13

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

Steps to Calculate GCD of 308, 500, 585 using LCM Formula

Given numbers are 308, 500, 585

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

Apply this formula for all numbers.

Step1:

LCM(308, 500) = 38500

GCD(308, 500) = ( 308 x 500 ) / 38500

= 308 / 500

= 308

Step2:

LCM(4, 585) = 2340

GCD(4, 585) = ( 4 x 585 ) / 2340

= 4 / 585

= 4


So, Greatest Common Divisor of 308, 500, 585 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 308, 500, 585

Given numbers are 308, 500, 585
The greatest common divisor of numbers 308, 500, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 500, 585 is 1.

FAQs on GCD of 308, 500, 585 Calculator

1. What is the GCD of 308, 500, 585?

GCD of given numbers 308, 500, 585 is 1

2. How to calculate the greatest common divisor of 308, 500, 585?

We can find the highest common divisor of 308, 500, 585 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 308, 500, 585 i.e 1.

3. How can I use the GCD of 308, 500, 585Calculator?

Out the numbers 308, 500, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.