GCD of 487, 782, 542, 313 Calculator

Given Input numbers are 487, 782, 542, 313

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

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 487, 782, 542, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 782, 542, 313 is 1.

Therefore, GCD of numbers 487, 782, 542, 313 is 1

Given Input Data is 487, 782, 542, 313

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

Prime Factorization of 487 is 487

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 542 is 2 x 271

Prime Factorization of 313 is 313

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(487, 782) = 380834

GCD(487, 782) = ( 487 x 782 ) / 380834

GCD(487, 782) = 380834 / 380834

GCD(487, 782) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 487, 782, 542, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 407, 368, 773
• GCD of 540, 869, 890, 466
• GCD of 310, 775, 402, 137
• GCD of 781, 130, 702, 961
• GCD of 687, 530, 636, 691

1. What is the GCD of 487, 782, 542, 313?

GCD of 487, 782, 542, 313 is 1

2. Where do I get the detailed procedure to find GCD of 487, 782, 542, 313?

You can find a detailed procedure to find GCD of 487, 782, 542, 313 on our page.

3. How to find GCD of 487, 782, 542, 313 on a calculator?

You can find the GCD of 487, 782, 542, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.