GCD of 855, 240, 201 Calculator

Given Input numbers are 855, 240, 201

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 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Greatest Common Divisior

We found the divisors of 855, 240, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 240, 201 is 3.

Therefore, GCD of numbers 855, 240, 201 is 3

Given Input Data is 855, 240, 201

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 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 201 is 3 x 67

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 240) = 13680

GCD(855, 240) = ( 855 x 240 ) / 13680

GCD(855, 240) = 205200 / 13680

GCD(855, 240) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 201

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

LCM(15, 201) = 1005

GCD(15, 201) = ( 15 x 201 ) / 1005

GCD(15, 201) = 3015 / 1005

GCD(15, 201) = 3

GCD of 855, 240, 201 is 3

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1. What is the GCD of 855, 240, 201?

GCD of 855, 240, 201 is 3

2. Where do I get the detailed procedure to find GCD of 855, 240, 201?

You can find a detailed procedure to find GCD of 855, 240, 201 on our page.

3. How to find GCD of 855, 240, 201 on a calculator?

You can find the GCD of 855, 240, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.