GCD of 133, 271, 447, 460 Calculator

Given Input numbers are 133, 271, 447, 460

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

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

Greatest Common Divisior

We found the divisors of 133, 271, 447, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 271, 447, 460 is 1.

Therefore, GCD of numbers 133, 271, 447, 460 is 1

Given Input Data is 133, 271, 447, 460

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 271 is 271

Prime Factorization of 447 is 3 x 149

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

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(133, 271) = 36043

GCD(133, 271) = ( 133 x 271 ) / 36043

GCD(133, 271) = 36043 / 36043

GCD(133, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 447

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

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

GCD(1, 447) = 447 / 447

GCD(1, 447) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 133, 271, 447, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 323, 826, 335
• GCD of 528, 253, 485, 467
• GCD of 765, 813, 473, 210
• GCD of 752, 453, 294, 688
• GCD of 163, 272, 343, 560

1. What is the GCD of 133, 271, 447, 460?

GCD of 133, 271, 447, 460 is 1

2. Where do I get the detailed procedure to find GCD of 133, 271, 447, 460?

You can find a detailed procedure to find GCD of 133, 271, 447, 460 on our page.

3. How to find GCD of 133, 271, 447, 460 on a calculator?

You can find the GCD of 133, 271, 447, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.