GCD of 900, 184, 70, 286 Calculator

Given Input numbers are 900, 184, 70, 286

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 900, 184, 70, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 184, 70, 286 is 2.

Therefore, GCD of numbers 900, 184, 70, 286 is 2

Given Input Data is 900, 184, 70, 286

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 286 is 2 x 11 x 13

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(900, 184) = 41400

GCD(900, 184) = ( 900 x 184 ) / 41400

GCD(900, 184) = 165600 / 41400

GCD(900, 184) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 70

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

LCM(4, 70) = 140

GCD(4, 70) = ( 4 x 70 ) / 140

GCD(4, 70) = 280 / 140

GCD(4, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 286

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

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

GCD(2, 286) = 572 / 286

GCD(2, 286) = 2

GCD of 900, 184, 70, 286 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 844, 92, 825
• GCD of 454, 790, 12, 219
• GCD of 982, 314, 27, 626
• GCD of 231, 659, 71, 163
• GCD of 119, 421, 15, 545

1. What is the GCD of 900, 184, 70, 286?

GCD of 900, 184, 70, 286 is 2

2. Where do I get the detailed procedure to find GCD of 900, 184, 70, 286?

You can find a detailed procedure to find GCD of 900, 184, 70, 286 on our page.

3. How to find GCD of 900, 184, 70, 286 on a calculator?

You can find the GCD of 900, 184, 70, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.