GCD of 900, 206, 27, 160 Calculator

Given Input numbers are 900, 206, 27, 160

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 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 900, 206, 27, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 206, 27, 160 is 1.

Therefore, GCD of numbers 900, 206, 27, 160 is 1

Given Input Data is 900, 206, 27, 160

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 206 is 2 x 103

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(900, 206) = 92700

GCD(900, 206) = ( 900 x 206 ) / 92700

GCD(900, 206) = 185400 / 92700

GCD(900, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 900, 206, 27, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 445, 52, 600
• GCD of 169, 289, 17, 590
• GCD of 154, 260, 19, 276
• GCD of 979, 784, 82, 583
• GCD of 112, 805, 10, 558

1. What is the GCD of 900, 206, 27, 160?

GCD of 900, 206, 27, 160 is 1

2. Where do I get the detailed procedure to find GCD of 900, 206, 27, 160?

You can find a detailed procedure to find GCD of 900, 206, 27, 160 on our page.

3. How to find GCD of 900, 206, 27, 160 on a calculator?

You can find the GCD of 900, 206, 27, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.