GCD of 13, 449, 162, 175 Calculator

Given Input numbers are 13, 449, 162, 175

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 13, 449, 162, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 449, 162, 175 is 1.

Therefore, GCD of numbers 13, 449, 162, 175 is 1

Given Input Data is 13, 449, 162, 175

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

Prime Factorization of 13 is 13

Prime Factorization of 449 is 449

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 175 is 5 x 5 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(13, 449) = 5837

GCD(13, 449) = ( 13 x 449 ) / 5837

GCD(13, 449) = 5837 / 5837

GCD(13, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 13, 449, 162, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 782, 208, 142
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• GCD of 98, 703, 329, 471
• GCD of 37, 685, 298, 350
• GCD of 18, 136, 389, 727

1. What is the GCD of 13, 449, 162, 175?

GCD of 13, 449, 162, 175 is 1

2. Where do I get the detailed procedure to find GCD of 13, 449, 162, 175?

You can find a detailed procedure to find GCD of 13, 449, 162, 175 on our page.

3. How to find GCD of 13, 449, 162, 175 on a calculator?

You can find the GCD of 13, 449, 162, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.