Where do I get the detailed procedure to find GCD of 385, 705, 115?

You can find a detailed procedure to find GCD of 385, 705, 115 on our page.

How to find GCD of 385, 705, 115 on a calculator?

You can find the GCD of 385, 705, 115 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 385, 705, 115 Calculator

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

Online GCD Calculator is useful to find the GCD of 385, 705, 115 quickly. Get the easiest ways to solve the greatest common divisor of 385, 705, 115 i.e 5 in different methods as follows.

How to Find GCD of Numbers 385, 705, 115 with Factoring?

Given Input numbers are 385, 705, 115

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

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 705 :

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

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

Divisors of 115 :

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

1, 5, 23, 115

GCD of numbers is the greatest common divisor

So, the GCD (385, 705, 115) = 5.

Find GCD of 385, 705, 115 using Prime Factorization

Given numbers are 385, 705, 115

The list of prime factors of all numbers are

Prime factors of 385 are 5 x 7 x 11

Prime factors of 705 are 3 x 5 x 47

Prime factors of 115 are 5 x 23

The highest common occurrence is 5¹

Therefore, GCD of 385, 705, 115 is 5.

Steps to Calculate GCD of 385, 705, 115 using LCM Formula

Given numbers are 385, 705, 115

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

Apply this formula for all numbers.

Step1:

LCM(385, 705) = 54285

GCD(385, 705) = ( 385 x 705 ) / 54285

= 385 / 705

= 385

Step2:

LCM(5, 115) = 115

GCD(5, 115) = ( 5 x 115 ) / 115

= 5 / 115

= 5

So, Greatest Common Divisor of 385, 705, 115 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 385, 705, 115

Given numbers are 385, 705, 115
The greatest common divisor of numbers 385, 705, 115 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 705, 115 is 5.

FAQs on GCD of 385, 705, 115 Calculator

1. What is the GCD of 385, 705, 115?

GCD of given numbers 385, 705, 115 is 5

2. How to calculate the greatest common divisor of 385, 705, 115?

We can find the highest common divisor of 385, 705, 115 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 385, 705, 115 i.e 5.

3. How can I use the GCD of 385, 705, 115Calculator?

Out the numbers 385, 705, 115 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.