Where do I get the detailed procedure to find GCD of 115, 705, 36?

You can find a detailed procedure to find GCD of 115, 705, 36 on our page.

How to find GCD of 115, 705, 36 on a calculator?

You can find the GCD of 115, 705, 36 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 115, 705, 36 Calculator

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

Online GCD Calculator is useful to find the GCD of 115, 705, 36 quickly. Get the easiest ways to solve the greatest common divisor of 115, 705, 36 i.e 1 in different methods as follows.

How to Find GCD of Numbers 115, 705, 36 with Factoring?

Given Input numbers are 115, 705, 36

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

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

GCD of numbers is the greatest common divisor

So, the GCD (115, 705, 36) = 1.

Find GCD of 115, 705, 36 using Prime Factorization

Given numbers are 115, 705, 36

The list of prime factors of all numbers are

Prime factors of 115 are 5 x 23

Prime factors of 705 are 3 x 5 x 47

Prime factors of 36 are 2 x 2 x 3 x 3

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

Steps to Calculate GCD of 115, 705, 36 using LCM Formula

Given numbers are 115, 705, 36

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

Apply this formula for all numbers.

Step1:

LCM(115, 705) = 16215

GCD(115, 705) = ( 115 x 705 ) / 16215

= 115 / 705

= 115

Step2:

LCM(5, 36) = 180

GCD(5, 36) = ( 5 x 36 ) / 180

= 5 / 36

= 5

So, Greatest Common Divisor of 115, 705, 36 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 115, 705, 36

Given numbers are 115, 705, 36
The greatest common divisor of numbers 115, 705, 36 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 115, 705, 36 is 1.

FAQs on GCD of 115, 705, 36 Calculator

1. What is the GCD of 115, 705, 36?

GCD of given numbers 115, 705, 36 is 1

2. How to calculate the greatest common divisor of 115, 705, 36?

We can find the highest common divisor of 115, 705, 36 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 115, 705, 36 i.e 1.

3. How can I use the GCD of 115, 705, 36Calculator?

Out the numbers 115, 705, 36 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.