GCD of 510, 447, 313, 782 Calculator

Given Input numbers are 510, 447, 313, 782

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 447

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

1, 3, 149, 447

Divisors of 313

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

1, 313

Divisors of 782

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

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

Greatest Common Divisior

We found the divisors of 510, 447, 313, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 447, 313, 782 is 1.

Therefore, GCD of numbers 510, 447, 313, 782 is 1

Given Input Data is 510, 447, 313, 782

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 447 is 3 x 149

Prime Factorization of 313 is 313

Prime Factorization of 782 is 2 x 17 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(510, 447) = 75990

GCD(510, 447) = ( 510 x 447 ) / 75990

GCD(510, 447) = 227970 / 75990

GCD(510, 447) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 313

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

LCM(3, 313) = 939

GCD(3, 313) = ( 3 x 313 ) / 939

GCD(3, 313) = 939 / 939

GCD(3, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 510, 447, 313, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 660, 248, 863
• GCD of 104, 511, 489, 394
• GCD of 642, 968, 270, 294
• GCD of 612, 621, 961, 757
• GCD of 682, 804, 959, 740

1. What is the GCD of 510, 447, 313, 782?

GCD of 510, 447, 313, 782 is 1

2. Where do I get the detailed procedure to find GCD of 510, 447, 313, 782?

You can find a detailed procedure to find GCD of 510, 447, 313, 782 on our page.

3. How to find GCD of 510, 447, 313, 782 on a calculator?

You can find the GCD of 510, 447, 313, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.