GCD of 15, 165, 790, 491 Calculator

Given Input numbers are 15, 165, 790, 491

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

Divisors of 15

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

1, 3, 5, 15

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 15, 165, 790, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 165, 790, 491 is 1.

Therefore, GCD of numbers 15, 165, 790, 491 is 1

Given Input Data is 15, 165, 790, 491

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 491 is 491

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(15, 165) = 165

GCD(15, 165) = ( 15 x 165 ) / 165

GCD(15, 165) = 2475 / 165

GCD(15, 165) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 790

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

LCM(15, 790) = 2370

GCD(15, 790) = ( 15 x 790 ) / 2370

GCD(15, 790) = 11850 / 2370

GCD(15, 790) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 491

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

LCM(5, 491) = 2455

GCD(5, 491) = ( 5 x 491 ) / 2455

GCD(5, 491) = 2455 / 2455

GCD(5, 491) = 1

GCD of 15, 165, 790, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 969, 832, 994
• GCD of 88, 191, 847, 792
• GCD of 92, 928, 667, 872
• GCD of 43, 492, 821, 232
• GCD of 24, 411, 272, 584

1. What is the GCD of 15, 165, 790, 491?

GCD of 15, 165, 790, 491 is 1

2. Where do I get the detailed procedure to find GCD of 15, 165, 790, 491?

You can find a detailed procedure to find GCD of 15, 165, 790, 491 on our page.

3. How to find GCD of 15, 165, 790, 491 on a calculator?

You can find the GCD of 15, 165, 790, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.