GCD of 90, 804, 226, 736 Calculator

Given Input numbers are 90, 804, 226, 736

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

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 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 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 90, 804, 226, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 804, 226, 736 is 2.

Therefore, GCD of numbers 90, 804, 226, 736 is 2

Given Input Data is 90, 804, 226, 736

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

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

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 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(90, 804) = 12060

GCD(90, 804) = ( 90 x 804 ) / 12060

GCD(90, 804) = 72360 / 12060

GCD(90, 804) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 226

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

LCM(6, 226) = 678

GCD(6, 226) = ( 6 x 226 ) / 678

GCD(6, 226) = 1356 / 678

GCD(6, 226) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

GCD of 90, 804, 226, 736 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 978, 882, 727
• GCD of 84, 927, 353, 535
• GCD of 32, 293, 827, 961
• GCD of 45, 720, 905, 829
• GCD of 83, 246, 533, 298

1. What is the GCD of 90, 804, 226, 736?

GCD of 90, 804, 226, 736 is 2

2. Where do I get the detailed procedure to find GCD of 90, 804, 226, 736?

You can find a detailed procedure to find GCD of 90, 804, 226, 736 on our page.

3. How to find GCD of 90, 804, 226, 736 on a calculator?

You can find the GCD of 90, 804, 226, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.