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GCD of 365, 500, 665 Calculator

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

Online GCD Calculator is useful to find the GCD of 365, 500, 665 quickly. Get the easiest ways to solve the greatest common divisor of 365, 500, 665 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 365, 500, 665 with Factoring?

Given Input numbers are 365, 500, 665

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

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

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 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665


GCD of numbers is the greatest common divisor

So, the GCD (365, 500, 665) = 5.

Find GCD of 365, 500, 665 using Prime Factorization

Given numbers are 365, 500, 665

The list of prime factors of all numbers are

Prime factors of 365 are 5 x 73

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

Prime factors of 665 are 5 x 7 x 19

The highest common occurrence is 51

Therefore, GCD of 365, 500, 665 is 5.

Steps to Calculate GCD of 365, 500, 665 using LCM Formula

Given numbers are 365, 500, 665

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

Apply this formula for all numbers.

Step1:

LCM(365, 500) = 36500

GCD(365, 500) = ( 365 x 500 ) / 36500

= 365 / 500

= 365

Step2:

LCM(5, 665) = 665

GCD(5, 665) = ( 5 x 665 ) / 665

= 5 / 665

= 5


So, Greatest Common Divisor of 365, 500, 665 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 365, 500, 665

Given numbers are 365, 500, 665
The greatest common divisor of numbers 365, 500, 665 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 500, 665 is 5.

FAQs on GCD of 365, 500, 665 Calculator

1. What is the GCD of 365, 500, 665?

GCD of given numbers 365, 500, 665 is 5

2. How to calculate the greatest common divisor of 365, 500, 665?

We can find the highest common divisor of 365, 500, 665 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 365, 500, 665 i.e 5.

3. How can I use the GCD of 365, 500, 665Calculator?

Out the numbers 365, 500, 665 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.