Where do I get the detailed procedure to find GCD of 915, 825, 85?

You can find a detailed procedure to find GCD of 915, 825, 85 on our page.

How to find GCD of 915, 825, 85 on a calculator?

You can find the GCD of 915, 825, 85 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, 825, 85 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, 825, 85 quickly. Get the easiest ways to solve the greatest common divisor of 915, 825, 85 i.e 5 in different methods as follows.

How to Find GCD of Numbers 915, 825, 85 with Factoring?

Given Input numbers are 915, 825, 85

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 85 :

The positive integer divisors of 85 that completely divides 85 are.

1, 5, 17, 85

GCD of numbers is the greatest common divisor

So, the GCD (915, 825, 85) = 5.

Find GCD of 915, 825, 85 using Prime Factorization

Given numbers are 915, 825, 85

The list of prime factors of all numbers are

Prime factors of 915 are 3 x 5 x 61

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 85 are 5 x 17

The highest common occurrence is 5¹

Therefore, GCD of 915, 825, 85 is 5.

Steps to Calculate GCD of 915, 825, 85 using LCM Formula

Given numbers are 915, 825, 85

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

Apply this formula for all numbers.

Step1:

LCM(915, 825) = 50325

GCD(915, 825) = ( 915 x 825 ) / 50325

= 915 / 825

= 915

Step2:

LCM(15, 85) = 255

GCD(15, 85) = ( 15 x 85 ) / 255

= 15 / 85

= 15

So, Greatest Common Divisor of 915, 825, 85 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 915, 825, 85

Given numbers are 915, 825, 85
The greatest common divisor of numbers 915, 825, 85 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 915, 825, 85 is 5.

FAQs on GCD of 915, 825, 85 Calculator

1. What is the GCD of 915, 825, 85?

GCD of given numbers 915, 825, 85 is 5

2. How to calculate the greatest common divisor of 915, 825, 85?

We can find the highest common divisor of 915, 825, 85 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, 825, 85 i.e 5.

3. How can I use the GCD of 915, 825, 85Calculator?

Out the numbers 915, 825, 85 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.