GCD of 245, 480, 271, 174 Calculator

Given Input numbers are 245, 480, 271, 174

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

Divisors of 245

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

1, 5, 7, 35, 49, 245

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 245, 480, 271, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 480, 271, 174 is 1.

Therefore, GCD of numbers 245, 480, 271, 174 is 1

Given Input Data is 245, 480, 271, 174

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

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 271 is 271

Prime Factorization of 174 is 2 x 3 x 29

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(245, 480) = 23520

GCD(245, 480) = ( 245 x 480 ) / 23520

GCD(245, 480) = 117600 / 23520

GCD(245, 480) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 271

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

LCM(5, 271) = 1355

GCD(5, 271) = ( 5 x 271 ) / 1355

GCD(5, 271) = 1355 / 1355

GCD(5, 271) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 245, 480, 271, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 714, 742, 683
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• GCD of 481, 960, 631, 625

1. What is the GCD of 245, 480, 271, 174?

GCD of 245, 480, 271, 174 is 1

2. Where do I get the detailed procedure to find GCD of 245, 480, 271, 174?

You can find a detailed procedure to find GCD of 245, 480, 271, 174 on our page.

3. How to find GCD of 245, 480, 271, 174 on a calculator?

You can find the GCD of 245, 480, 271, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.