GCD of 152, 270, 447, 245 Calculator

Given Input numbers are 152, 270, 447, 245

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

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 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Greatest Common Divisior

We found the divisors of 152, 270, 447, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 270, 447, 245 is 1.

Therefore, GCD of numbers 152, 270, 447, 245 is 1

Given Input Data is 152, 270, 447, 245

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 245 is 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(152, 270) = 20520

GCD(152, 270) = ( 152 x 270 ) / 20520

GCD(152, 270) = 41040 / 20520

GCD(152, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 447

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

LCM(2, 447) = 894

GCD(2, 447) = ( 2 x 447 ) / 894

GCD(2, 447) = 894 / 894

GCD(2, 447) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 245

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

LCM(1, 245) = 245

GCD(1, 245) = ( 1 x 245 ) / 245

GCD(1, 245) = 245 / 245

GCD(1, 245) = 1

GCD of 152, 270, 447, 245 is 1

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1. What is the GCD of 152, 270, 447, 245?

GCD of 152, 270, 447, 245 is 1

2. Where do I get the detailed procedure to find GCD of 152, 270, 447, 245?

You can find a detailed procedure to find GCD of 152, 270, 447, 245 on our page.

3. How to find GCD of 152, 270, 447, 245 on a calculator?

You can find the GCD of 152, 270, 447, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.