GCD of 160, 459, 601, 109 Calculator

Given Input numbers are 160, 459, 601, 109

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

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 601

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

1, 601

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 160, 459, 601, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 459, 601, 109 is 1.

Therefore, GCD of numbers 160, 459, 601, 109 is 1

Given Input Data is 160, 459, 601, 109

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 601 is 601

Prime Factorization of 109 is 109

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(160, 459) = 73440

GCD(160, 459) = ( 160 x 459 ) / 73440

GCD(160, 459) = 73440 / 73440

GCD(160, 459) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 160, 459, 601, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 659, 334, 424
• GCD of 655, 299, 454, 468
• GCD of 986, 699, 473, 631
• GCD of 529, 702, 105, 451
• GCD of 805, 622, 368, 723

1. What is the GCD of 160, 459, 601, 109?

GCD of 160, 459, 601, 109 is 1

2. Where do I get the detailed procedure to find GCD of 160, 459, 601, 109?

You can find a detailed procedure to find GCD of 160, 459, 601, 109 on our page.

3. How to find GCD of 160, 459, 601, 109 on a calculator?

You can find the GCD of 160, 459, 601, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.