GCD of 753, 288, 27, 874 Calculator

Given Input numbers are 753, 288, 27, 874

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 27

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

1, 3, 9, 27

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 753, 288, 27, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 288, 27, 874 is 1.

Therefore, GCD of numbers 753, 288, 27, 874 is 1

Given Input Data is 753, 288, 27, 874

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 874 is 2 x 19 x 23

The above numbers do not have any common prime factor. So GCD is 1

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(753, 288) = 72288

GCD(753, 288) = ( 753 x 288 ) / 72288

GCD(753, 288) = 216864 / 72288

GCD(753, 288) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

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

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 874

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

LCM(3, 874) = 2622

GCD(3, 874) = ( 3 x 874 ) / 2622

GCD(3, 874) = 2622 / 2622

GCD(3, 874) = 1

GCD of 753, 288, 27, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 438, 98, 857
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• GCD of 394, 576, 53, 190

1. What is the GCD of 753, 288, 27, 874?

GCD of 753, 288, 27, 874 is 1

2. Where do I get the detailed procedure to find GCD of 753, 288, 27, 874?

You can find a detailed procedure to find GCD of 753, 288, 27, 874 on our page.

3. How to find GCD of 753, 288, 27, 874 on a calculator?

You can find the GCD of 753, 288, 27, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.