Where do I get the detailed procedure to find GCD of 805, 155, 240?

You can find a detailed procedure to find GCD of 805, 155, 240 on our page.

How to find GCD of 805, 155, 240 on a calculator?

You can find the GCD of 805, 155, 240 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 805, 155, 240 Calculator

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

Online GCD Calculator is useful to find the GCD of 805, 155, 240 quickly. Get the easiest ways to solve the greatest common divisor of 805, 155, 240 i.e 5 in different methods as follows.

How to Find GCD of Numbers 805, 155, 240 with Factoring?

Given Input numbers are 805, 155, 240

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

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 155 :

The positive integer divisors of 155 that completely divides 155 are.

1, 5, 31, 155

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (805, 155, 240) = 5.

Find GCD of 805, 155, 240 using Prime Factorization

Given numbers are 805, 155, 240

The list of prime factors of all numbers are

Prime factors of 805 are 5 x 7 x 23

Prime factors of 155 are 5 x 31

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 805, 155, 240 is 5.

Steps to Calculate GCD of 805, 155, 240 using LCM Formula

Given numbers are 805, 155, 240

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

Apply this formula for all numbers.

Step1:

LCM(805, 155) = 24955

GCD(805, 155) = ( 805 x 155 ) / 24955

= 805 / 155

= 805

Step2:

LCM(5, 240) = 240

GCD(5, 240) = ( 5 x 240 ) / 240

= 5 / 240

= 5

So, Greatest Common Divisor of 805, 155, 240 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 805, 155, 240

Given numbers are 805, 155, 240
The greatest common divisor of numbers 805, 155, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 805, 155, 240 is 5.

FAQs on GCD of 805, 155, 240 Calculator

1. What is the GCD of 805, 155, 240?

GCD of given numbers 805, 155, 240 is 5

2. How to calculate the greatest common divisor of 805, 155, 240?

We can find the highest common divisor of 805, 155, 240 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 805, 155, 240 i.e 5.

3. How can I use the GCD of 805, 155, 240Calculator?

Out the numbers 805, 155, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.