GCD of 636, 240, 27, 801 Calculator

Given Input numbers are 636, 240, 27, 801

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

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 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Greatest Common Divisior

We found the divisors of 636, 240, 27, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 240, 27, 801 is 3.

Therefore, GCD of numbers 636, 240, 27, 801 is 3

Given Input Data is 636, 240, 27, 801

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 801 is 3 x 3 x 89

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(636, 240) = 12720

GCD(636, 240) = ( 636 x 240 ) / 12720

GCD(636, 240) = 152640 / 12720

GCD(636, 240) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 27

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

LCM(12, 27) = 108

GCD(12, 27) = ( 12 x 27 ) / 108

GCD(12, 27) = 324 / 108

GCD(12, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 801

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

LCM(3, 801) = 801

GCD(3, 801) = ( 3 x 801 ) / 801

GCD(3, 801) = 2403 / 801

GCD(3, 801) = 3

GCD of 636, 240, 27, 801 is 3

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• GCD of 767, 710, 16, 188
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1. What is the GCD of 636, 240, 27, 801?

GCD of 636, 240, 27, 801 is 3

2. Where do I get the detailed procedure to find GCD of 636, 240, 27, 801?

You can find a detailed procedure to find GCD of 636, 240, 27, 801 on our page.

3. How to find GCD of 636, 240, 27, 801 on a calculator?

You can find the GCD of 636, 240, 27, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.