Where do I get the detailed procedure to find GCD of 855, 975, 25?

You can find a detailed procedure to find GCD of 855, 975, 25 on our page.

How to find GCD of 855, 975, 25 on a calculator?

You can find the GCD of 855, 975, 25 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 855, 975, 25 Calculator

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

Online GCD Calculator is useful to find the GCD of 855, 975, 25 quickly. Get the easiest ways to solve the greatest common divisor of 855, 975, 25 i.e 5 in different methods as follows.

How to Find GCD of Numbers 855, 975, 25 with Factoring?

Given Input numbers are 855, 975, 25

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

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 25 :

The positive integer divisors of 25 that completely divides 25 are.

1, 5, 25

GCD of numbers is the greatest common divisor

So, the GCD (855, 975, 25) = 5.

Find GCD of 855, 975, 25 using Prime Factorization

Given numbers are 855, 975, 25

The list of prime factors of all numbers are

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 25 are 5 x 5

The highest common occurrence is 5¹

Therefore, GCD of 855, 975, 25 is 5.

Steps to Calculate GCD of 855, 975, 25 using LCM Formula

Given numbers are 855, 975, 25

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

Apply this formula for all numbers.

Step1:

LCM(855, 975) = 55575

GCD(855, 975) = ( 855 x 975 ) / 55575

= 855 / 975

= 855

Step2:

LCM(15, 25) = 75

GCD(15, 25) = ( 15 x 25 ) / 75

= 15 / 25

= 15

So, Greatest Common Divisor of 855, 975, 25 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 855, 975, 25

Given numbers are 855, 975, 25
The greatest common divisor of numbers 855, 975, 25 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 975, 25 is 5.

FAQs on GCD of 855, 975, 25 Calculator

1. What is the GCD of 855, 975, 25?

GCD of given numbers 855, 975, 25 is 5

2. How to calculate the greatest common divisor of 855, 975, 25?

We can find the highest common divisor of 855, 975, 25 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 855, 975, 25 i.e 5.

3. How can I use the GCD of 855, 975, 25Calculator?

Out the numbers 855, 975, 25 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.