GCD of 160, 446, 90, 394 Calculator

Given Input numbers are 160, 446, 90, 394

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

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

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 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 160, 446, 90, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 446, 90, 394 is 2.

Therefore, GCD of numbers 160, 446, 90, 394 is 2

Given Input Data is 160, 446, 90, 394

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

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

Prime Factorization of 446 is 2 x 223

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

Prime Factorization of 394 is 2 x 197

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(160, 446) = 35680

GCD(160, 446) = ( 160 x 446 ) / 35680

GCD(160, 446) = 71360 / 35680

GCD(160, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 394

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

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

GCD(2, 394) = 788 / 394

GCD(2, 394) = 2

GCD of 160, 446, 90, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 228, 41, 748
• GCD of 377, 577, 34, 296
• GCD of 429, 769, 80, 230
• GCD of 710, 581, 75, 430
• GCD of 432, 399, 54, 854

1. What is the GCD of 160, 446, 90, 394?

GCD of 160, 446, 90, 394 is 2

2. Where do I get the detailed procedure to find GCD of 160, 446, 90, 394?

You can find a detailed procedure to find GCD of 160, 446, 90, 394 on our page.

3. How to find GCD of 160, 446, 90, 394 on a calculator?

You can find the GCD of 160, 446, 90, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.