Where do I get the detailed procedure to find GCD of 365, 305, 355?

You can find a detailed procedure to find GCD of 365, 305, 355 on our page.

How to find GCD of 365, 305, 355 on a calculator?

You can find the GCD of 365, 305, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 365, 305, 355 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, 305, 355 quickly. Get the easiest ways to solve the greatest common divisor of 365, 305, 355 i.e 5 in different methods as follows.

How to Find GCD of Numbers 365, 305, 355 with Factoring?

Given Input numbers are 365, 305, 355

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 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (365, 305, 355) = 5.

Find GCD of 365, 305, 355 using Prime Factorization

Given numbers are 365, 305, 355

The list of prime factors of all numbers are

Prime factors of 365 are 5 x 73

Prime factors of 305 are 5 x 61

Prime factors of 355 are 5 x 71

The highest common occurrence is 5¹

Therefore, GCD of 365, 305, 355 is 5.

Steps to Calculate GCD of 365, 305, 355 using LCM Formula

Given numbers are 365, 305, 355

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

Apply this formula for all numbers.

Step1:

LCM(365, 305) = 22265

GCD(365, 305) = ( 365 x 305 ) / 22265

= 365 / 305

= 365

Step2:

LCM(5, 355) = 355

GCD(5, 355) = ( 5 x 355 ) / 355

= 5 / 355

= 5

So, Greatest Common Divisor of 365, 305, 355 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 365, 305, 355

Given numbers are 365, 305, 355
The greatest common divisor of numbers 365, 305, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 305, 355 is 5.

FAQs on GCD of 365, 305, 355 Calculator

1. What is the GCD of 365, 305, 355?

GCD of given numbers 365, 305, 355 is 5

2. How to calculate the greatest common divisor of 365, 305, 355?

We can find the highest common divisor of 365, 305, 355 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, 305, 355 i.e 5.

3. How can I use the GCD of 365, 305, 355Calculator?

Out the numbers 365, 305, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.