GCD of 13, 154, 498, 360 Calculator

Given Input numbers are 13, 154, 498, 360

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 13, 154, 498, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 154, 498, 360 is 1.

Therefore, GCD of numbers 13, 154, 498, 360 is 1

Given Input Data is 13, 154, 498, 360

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

Prime Factorization of 13 is 13

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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, 154) = 2002

GCD(13, 154) = ( 13 x 154 ) / 2002

GCD(13, 154) = 2002 / 2002

GCD(13, 154) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 13, 154, 498, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 569, 715, 782
• GCD of 33, 663, 343, 368
• GCD of 48, 937, 892, 208
• GCD of 11, 479, 709, 501
• GCD of 30, 173, 339, 932

1. What is the GCD of 13, 154, 498, 360?

GCD of 13, 154, 498, 360 is 1

2. Where do I get the detailed procedure to find GCD of 13, 154, 498, 360?

You can find a detailed procedure to find GCD of 13, 154, 498, 360 on our page.

3. How to find GCD of 13, 154, 498, 360 on a calculator?

You can find the GCD of 13, 154, 498, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.