GCD of 142, 460, 273, 539 Calculator

Given Input numbers are 142, 460, 273, 539

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

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 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Greatest Common Divisior

We found the divisors of 142, 460, 273, 539 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 460, 273, 539 is 1.

Therefore, GCD of numbers 142, 460, 273, 539 is 1

Given Input Data is 142, 460, 273, 539

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

Prime Factorization of 142 is 2 x 71

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 539 is 7 x 7 x 11

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(142, 460) = 32660

GCD(142, 460) = ( 142 x 460 ) / 32660

GCD(142, 460) = 65320 / 32660

GCD(142, 460) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 273

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

LCM(2, 273) = 546

GCD(2, 273) = ( 2 x 273 ) / 546

GCD(2, 273) = 546 / 546

GCD(2, 273) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 539

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

LCM(1, 539) = 539

GCD(1, 539) = ( 1 x 539 ) / 539

GCD(1, 539) = 539 / 539

GCD(1, 539) = 1

GCD of 142, 460, 273, 539 is 1

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1. What is the GCD of 142, 460, 273, 539?

GCD of 142, 460, 273, 539 is 1

2. Where do I get the detailed procedure to find GCD of 142, 460, 273, 539?

You can find a detailed procedure to find GCD of 142, 460, 273, 539 on our page.

3. How to find GCD of 142, 460, 273, 539 on a calculator?

You can find the GCD of 142, 460, 273, 539 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.