GCD of 438, 885, 90, 853 Calculator

Given Input numbers are 438, 885, 90, 853

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 438, 885, 90, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 885, 90, 853 is 1.

Therefore, GCD of numbers 438, 885, 90, 853 is 1

Given Input Data is 438, 885, 90, 853

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 853 is 853

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(438, 885) = 129210

GCD(438, 885) = ( 438 x 885 ) / 129210

GCD(438, 885) = 387630 / 129210

GCD(438, 885) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 853

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

LCM(3, 853) = 2559

GCD(3, 853) = ( 3 x 853 ) / 2559

GCD(3, 853) = 2559 / 2559

GCD(3, 853) = 1

GCD of 438, 885, 90, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 213, 48, 512
• GCD of 850, 869, 12, 854
• GCD of 705, 216, 84, 124
• GCD of 339, 645, 12, 746
• GCD of 506, 378, 88, 925

1. What is the GCD of 438, 885, 90, 853?

GCD of 438, 885, 90, 853 is 1

2. Where do I get the detailed procedure to find GCD of 438, 885, 90, 853?

You can find a detailed procedure to find GCD of 438, 885, 90, 853 on our page.

3. How to find GCD of 438, 885, 90, 853 on a calculator?

You can find the GCD of 438, 885, 90, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.