GCD of 270, 446, 33, 490 Calculator

Given Input numbers are 270, 446, 33, 490

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 446

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

1, 2, 223, 446

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 270, 446, 33, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 446, 33, 490 is 1.

Therefore, GCD of numbers 270, 446, 33, 490 is 1

Given Input Data is 270, 446, 33, 490

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 446 is 2 x 223

Prime Factorization of 33 is 3 x 11

Prime Factorization of 490 is 2 x 5 x 7 x 7

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(270, 446) = 60210

GCD(270, 446) = ( 270 x 446 ) / 60210

GCD(270, 446) = 120420 / 60210

GCD(270, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 270, 446, 33, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 605, 27, 183
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• GCD of 453, 262, 63, 312
• GCD of 738, 978, 33, 688
• GCD of 395, 298, 57, 824

1. What is the GCD of 270, 446, 33, 490?

GCD of 270, 446, 33, 490 is 1

2. Where do I get the detailed procedure to find GCD of 270, 446, 33, 490?

You can find a detailed procedure to find GCD of 270, 446, 33, 490 on our page.

3. How to find GCD of 270, 446, 33, 490 on a calculator?

You can find the GCD of 270, 446, 33, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.