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GCD of 270, 855, 897, 303 Calculator

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


Online GCD Calculator is useful to find the GCD of 270, 855, 897, 303 quickly. Get the easiest ways to solve the greatest common divisor of 270, 855, 897, 303 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 270, 855, 897, 303 with Factoring?

Given Input numbers are 270, 855, 897, 303

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303


GCD of numbers is the greatest common divisor

So, the GCD (270, 855, 897, 303) = 3.

Find GCD of 270, 855, 897, 303 using Prime Factorization

Given numbers are 270, 855, 897, 303

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Prime factors of 897 are 3 x 13 x 23

Prime factors of 303 are 3 x 101

The highest common occurrence is 31

Therefore, GCD of 270, 855, 897, 303 is 3.

Steps to Calculate GCD of 270, 855, 897, 303 using LCM Formula

Given numbers are 270, 855, 897, 303

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

Apply this formula for all numbers.

Step1:

LCM(270, 855) = 5130

GCD(270, 855) = ( 270 x 855 ) / 5130

= 270 / 855

= 270


Step2:

LCM(45, 897) = 13455

GCD(45, 897) = ( 45 x 897 ) / 13455

= 45 / 897

= 45


Step3:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3


So, Greatest Common Divisor of 270, 855, 897, 303 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 270, 855, 897, 303

Given numbers are 270, 855, 897, 303
The greatest common divisor of numbers 270, 855, 897, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 855, 897, 303 is 3.

FAQs on GCD of 270, 855, 897, 303 Calculator

1. What is the GCD of 270, 855, 897, 303?

GCD of given numbers 270, 855, 897, 303 is 3


2. How to calculate the greatest common divisor of 270, 855, 897, 303?

We can find the highest common divisor of 270, 855, 897, 303 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 270, 855, 897, 303 i.e 3.


3. How can I use the GCD of 270, 855, 897, 303Calculator?

Out the numbers 270, 855, 897, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.