GCD of 665, 165, 113, 508 Calculator

Given Input numbers are 665, 165, 113, 508

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

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

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 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 665, 165, 113, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 665, 165, 113, 508 is 1.

Therefore, GCD of numbers 665, 165, 113, 508 is 1

Given Input Data is 665, 165, 113, 508

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

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 113 is 113

Prime Factorization of 508 is 2 x 2 x 127

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(665, 165) = 21945

GCD(665, 165) = ( 665 x 165 ) / 21945

GCD(665, 165) = 109725 / 21945

GCD(665, 165) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 113

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

LCM(5, 113) = 565

GCD(5, 113) = ( 5 x 113 ) / 565

GCD(5, 113) = 565 / 565

GCD(5, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 665, 165, 113, 508 is 1

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1. What is the GCD of 665, 165, 113, 508?

GCD of 665, 165, 113, 508 is 1

2. Where do I get the detailed procedure to find GCD of 665, 165, 113, 508?

You can find a detailed procedure to find GCD of 665, 165, 113, 508 on our page.

3. How to find GCD of 665, 165, 113, 508 on a calculator?

You can find the GCD of 665, 165, 113, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.