GCD of 936, 804, 252, 441 Calculator

Given Input numbers are 936, 804, 252, 441

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

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 936, 804, 252, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 804, 252, 441 is 3.

Therefore, GCD of numbers 936, 804, 252, 441 is 3

Given Input Data is 936, 804, 252, 441

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

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 441 is 3 x 3 x 7 x 7

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(936, 804) = 62712

GCD(936, 804) = ( 936 x 804 ) / 62712

GCD(936, 804) = 752544 / 62712

GCD(936, 804) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 252

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

LCM(12, 252) = 252

GCD(12, 252) = ( 12 x 252 ) / 252

GCD(12, 252) = 3024 / 252

GCD(12, 252) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 441

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

LCM(12, 441) = 1764

GCD(12, 441) = ( 12 x 441 ) / 1764

GCD(12, 441) = 5292 / 1764

GCD(12, 441) = 3

GCD of 936, 804, 252, 441 is 3

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1. What is the GCD of 936, 804, 252, 441?

GCD of 936, 804, 252, 441 is 3

2. Where do I get the detailed procedure to find GCD of 936, 804, 252, 441?

You can find a detailed procedure to find GCD of 936, 804, 252, 441 on our page.

3. How to find GCD of 936, 804, 252, 441 on a calculator?

You can find the GCD of 936, 804, 252, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.