GCD of 165, 242, 15, 601 Calculator

Given Input numbers are 165, 242, 15, 601

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

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 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 15

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

1, 3, 5, 15

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Greatest Common Divisior

We found the divisors of 165, 242, 15, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 242, 15, 601 is 1.

Therefore, GCD of numbers 165, 242, 15, 601 is 1

Given Input Data is 165, 242, 15, 601

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 15 is 3 x 5

Prime Factorization of 601 is 601

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(165, 242) = 3630

GCD(165, 242) = ( 165 x 242 ) / 3630

GCD(165, 242) = 39930 / 3630

GCD(165, 242) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 15

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

LCM(11, 15) = 165

GCD(11, 15) = ( 11 x 15 ) / 165

GCD(11, 15) = 165 / 165

GCD(11, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 601

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

LCM(1, 601) = 601

GCD(1, 601) = ( 1 x 601 ) / 601

GCD(1, 601) = 601 / 601

GCD(1, 601) = 1

GCD of 165, 242, 15, 601 is 1

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1. What is the GCD of 165, 242, 15, 601?

GCD of 165, 242, 15, 601 is 1

2. Where do I get the detailed procedure to find GCD of 165, 242, 15, 601?

You can find a detailed procedure to find GCD of 165, 242, 15, 601 on our page.

3. How to find GCD of 165, 242, 15, 601 on a calculator?

You can find the GCD of 165, 242, 15, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.