Where do I get the detailed procedure to find GCD of 915, 155, 380?

You can find a detailed procedure to find GCD of 915, 155, 380 on our page.

How to find GCD of 915, 155, 380 on a calculator?

You can find the GCD of 915, 155, 380 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 915, 155, 380 Calculator

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

Online GCD Calculator is useful to find the GCD of 915, 155, 380 quickly. Get the easiest ways to solve the greatest common divisor of 915, 155, 380 i.e 5 in different methods as follows.

How to Find GCD of Numbers 915, 155, 380 with Factoring?

Given Input numbers are 915, 155, 380

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

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 155 :

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

1, 5, 31, 155

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (915, 155, 380) = 5.

Find GCD of 915, 155, 380 using Prime Factorization

Given numbers are 915, 155, 380

The list of prime factors of all numbers are

Prime factors of 915 are 3 x 5 x 61

Prime factors of 155 are 5 x 31

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 5¹

Therefore, GCD of 915, 155, 380 is 5.

Steps to Calculate GCD of 915, 155, 380 using LCM Formula

Given numbers are 915, 155, 380

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

Apply this formula for all numbers.

Step1:

LCM(915, 155) = 28365

GCD(915, 155) = ( 915 x 155 ) / 28365

= 915 / 155

= 915

Step2:

LCM(5, 380) = 380

GCD(5, 380) = ( 5 x 380 ) / 380

= 5 / 380

= 5

So, Greatest Common Divisor of 915, 155, 380 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 915, 155, 380

Given numbers are 915, 155, 380
The greatest common divisor of numbers 915, 155, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 915, 155, 380 is 5.

FAQs on GCD of 915, 155, 380 Calculator

1. What is the GCD of 915, 155, 380?

GCD of given numbers 915, 155, 380 is 5

2. How to calculate the greatest common divisor of 915, 155, 380?

We can find the highest common divisor of 915, 155, 380 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 915, 155, 380 i.e 5.

3. How can I use the GCD of 915, 155, 380Calculator?

Out the numbers 915, 155, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.