GCD of 444, 804, 58, 920 Calculator

Given Input numbers are 444, 804, 58, 920

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

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 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 444, 804, 58, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 804, 58, 920 is 2.

Therefore, GCD of numbers 444, 804, 58, 920 is 2

Given Input Data is 444, 804, 58, 920

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(444, 804) = 29748

GCD(444, 804) = ( 444 x 804 ) / 29748

GCD(444, 804) = 356976 / 29748

GCD(444, 804) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 58

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

LCM(12, 58) = 348

GCD(12, 58) = ( 12 x 58 ) / 348

GCD(12, 58) = 696 / 348

GCD(12, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

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

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

GCD of 444, 804, 58, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 192, 27, 725
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• GCD of 258, 412, 17, 385
• GCD of 237, 666, 91, 867
• GCD of 597, 197, 60, 261

1. What is the GCD of 444, 804, 58, 920?

GCD of 444, 804, 58, 920 is 2

2. Where do I get the detailed procedure to find GCD of 444, 804, 58, 920?

You can find a detailed procedure to find GCD of 444, 804, 58, 920 on our page.

3. How to find GCD of 444, 804, 58, 920 on a calculator?

You can find the GCD of 444, 804, 58, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.