GCD of 460, 355, 66, 181 Calculator

Given Input numbers are 460, 355, 66, 181

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Greatest Common Divisior

We found the divisors of 460, 355, 66, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 355, 66, 181 is 1.

Therefore, GCD of numbers 460, 355, 66, 181 is 1

Given Input Data is 460, 355, 66, 181

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 355 is 5 x 71

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 181 is 181

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(460, 355) = 32660

GCD(460, 355) = ( 460 x 355 ) / 32660

GCD(460, 355) = 163300 / 32660

GCD(460, 355) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 66

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

LCM(5, 66) = 330

GCD(5, 66) = ( 5 x 66 ) / 330

GCD(5, 66) = 330 / 330

GCD(5, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 181

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

LCM(1, 181) = 181

GCD(1, 181) = ( 1 x 181 ) / 181

GCD(1, 181) = 181 / 181

GCD(1, 181) = 1

GCD of 460, 355, 66, 181 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 646, 45, 737
• GCD of 676, 266, 21, 510
• GCD of 116, 754, 45, 884
• GCD of 180, 520, 84, 770
• GCD of 507, 491, 90, 668

1. What is the GCD of 460, 355, 66, 181?

GCD of 460, 355, 66, 181 is 1

2. Where do I get the detailed procedure to find GCD of 460, 355, 66, 181?

You can find a detailed procedure to find GCD of 460, 355, 66, 181 on our page.

3. How to find GCD of 460, 355, 66, 181 on a calculator?

You can find the GCD of 460, 355, 66, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.