GCD of 270, 126, 15, 448 Calculator

Given Input numbers are 270, 126, 15, 448

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 270, 126, 15, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 126, 15, 448 is 1.

Therefore, GCD of numbers 270, 126, 15, 448 is 1

Given Input Data is 270, 126, 15, 448

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 126 is 2 x 3 x 3 x 7

Prime Factorization of 15 is 3 x 5

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 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, 126) = 1890

GCD(270, 126) = ( 270 x 126 ) / 1890

GCD(270, 126) = 34020 / 1890

GCD(270, 126) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 15

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

LCM(18, 15) = 90

GCD(18, 15) = ( 18 x 15 ) / 90

GCD(18, 15) = 270 / 90

GCD(18, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 448

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

LCM(3, 448) = 1344

GCD(3, 448) = ( 3 x 448 ) / 1344

GCD(3, 448) = 1344 / 1344

GCD(3, 448) = 1

GCD of 270, 126, 15, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 747, 76, 674
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• GCD of 394, 452, 75, 915
• GCD of 319, 777, 41, 864
• GCD of 835, 872, 76, 756

1. What is the GCD of 270, 126, 15, 448?

GCD of 270, 126, 15, 448 is 1

2. Where do I get the detailed procedure to find GCD of 270, 126, 15, 448?

You can find a detailed procedure to find GCD of 270, 126, 15, 448 on our page.

3. How to find GCD of 270, 126, 15, 448 on a calculator?

You can find the GCD of 270, 126, 15, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.