GCD of 855, 705, 275 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 855, 705, 275 i.e. 5 largest integer that divides all the numbers equally.

GCD of 855, 705, 275 is 5

GCD(855, 705, 275) = 5

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 855, 705, 275 is 5

GCD(855, 705, 275) = 5

GCD of 855,705,275 Calculator

GCDof 855,705,275 is 5

Given Input numbers are 855, 705, 275

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 855, 705, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 705, 275 is 5.

Therefore, GCD of numbers 855, 705, 275 is 5

Finding GCD of 855, 705, 275 using Prime Factorization

Given Input Data is 855, 705, 275

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 275 is 5 x 5 x 11

Highest common occurrences in the given inputs are 51

Multiplying them we get the GCD as 5

Finding GCD of 855, 705, 275 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(855, 705) = 40185

GCD(855, 705) = ( 855 x 705 ) / 40185

GCD(855, 705) = 602775 / 40185

GCD(855, 705) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 275

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

LCM(15, 275) = 825

GCD(15, 275) = ( 15 x 275 ) / 825

GCD(15, 275) = 4125 / 825

GCD(15, 275) = 5

GCD of 855, 705, 275 is 5

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FAQs on GCD of numbers 855, 705, 275

1. What is the GCD of 855, 705, 275?

GCD of 855, 705, 275 is 5

2. Where do I get the detailed procedure to find GCD of 855, 705, 275?

You can find a detailed procedure to find GCD of 855, 705, 275 on our page.

3. How to find GCD of 855, 705, 275 on a calculator?

You can find the GCD of 855, 705, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.