GCD of 84, 753, 171, 804 Calculator

Given Input numbers are 84, 753, 171, 804

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 753

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

1, 3, 251, 753

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 84, 753, 171, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 753, 171, 804 is 3.

Therefore, GCD of numbers 84, 753, 171, 804 is 3

Given Input Data is 84, 753, 171, 804

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 753 is 3 x 251

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 804 is 2 x 2 x 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(84, 753) = 21084

GCD(84, 753) = ( 84 x 753 ) / 21084

GCD(84, 753) = 63252 / 21084

GCD(84, 753) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 171

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

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

GCD(3, 171) = 513 / 171

GCD(3, 171) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 804

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

LCM(3, 804) = 804

GCD(3, 804) = ( 3 x 804 ) / 804

GCD(3, 804) = 2412 / 804

GCD(3, 804) = 3

GCD of 84, 753, 171, 804 is 3

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1. What is the GCD of 84, 753, 171, 804?

GCD of 84, 753, 171, 804 is 3

2. Where do I get the detailed procedure to find GCD of 84, 753, 171, 804?

You can find a detailed procedure to find GCD of 84, 753, 171, 804 on our page.

3. How to find GCD of 84, 753, 171, 804 on a calculator?

You can find the GCD of 84, 753, 171, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.