Where do I get the detailed procedure to find GCD of 105, 870, 235?

You can find a detailed procedure to find GCD of 105, 870, 235 on our page.

How to find GCD of 105, 870, 235 on a calculator?

You can find the GCD of 105, 870, 235 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 105, 870, 235 Calculator

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

Online GCD Calculator is useful to find the GCD of 105, 870, 235 quickly. Get the easiest ways to solve the greatest common divisor of 105, 870, 235 i.e 5 in different methods as follows.

How to Find GCD of Numbers 105, 870, 235 with Factoring?

Given Input numbers are 105, 870, 235

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

GCD of numbers is the greatest common divisor

So, the GCD (105, 870, 235) = 5.

Find GCD of 105, 870, 235 using Prime Factorization

Given numbers are 105, 870, 235

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 235 are 5 x 47

The highest common occurrence is 5¹

Therefore, GCD of 105, 870, 235 is 5.

Steps to Calculate GCD of 105, 870, 235 using LCM Formula

Given numbers are 105, 870, 235

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

Apply this formula for all numbers.

Step1:

LCM(105, 870) = 6090

GCD(105, 870) = ( 105 x 870 ) / 6090

= 105 / 870

= 105

Step2:

LCM(15, 235) = 705

GCD(15, 235) = ( 15 x 235 ) / 705

= 15 / 235

= 15

So, Greatest Common Divisor of 105, 870, 235 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 105, 870, 235

Given numbers are 105, 870, 235
The greatest common divisor of numbers 105, 870, 235 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 870, 235 is 5.

FAQs on GCD of 105, 870, 235 Calculator

1. What is the GCD of 105, 870, 235?

GCD of given numbers 105, 870, 235 is 5

2. How to calculate the greatest common divisor of 105, 870, 235?

We can find the highest common divisor of 105, 870, 235 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 105, 870, 235 i.e 5.

3. How can I use the GCD of 105, 870, 235Calculator?

Out the numbers 105, 870, 235 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.