GCD of 506, 319, 75, 316 Calculator

Given Input numbers are 506, 319, 75, 316

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 506, 319, 75, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 319, 75, 316 is 1.

Therefore, GCD of numbers 506, 319, 75, 316 is 1

Given Input Data is 506, 319, 75, 316

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 319 is 11 x 29

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 316 is 2 x 2 x 79

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(506, 319) = 14674

GCD(506, 319) = ( 506 x 319 ) / 14674

GCD(506, 319) = 161414 / 14674

GCD(506, 319) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 75

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

LCM(11, 75) = 825

GCD(11, 75) = ( 11 x 75 ) / 825

GCD(11, 75) = 825 / 825

GCD(11, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 506, 319, 75, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 508, 96, 688
• GCD of 406, 333, 88, 774
• GCD of 630, 875, 65, 788
• GCD of 125, 790, 68, 248
• GCD of 925, 561, 98, 675

1. What is the GCD of 506, 319, 75, 316?

GCD of 506, 319, 75, 316 is 1

2. Where do I get the detailed procedure to find GCD of 506, 319, 75, 316?

You can find a detailed procedure to find GCD of 506, 319, 75, 316 on our page.

3. How to find GCD of 506, 319, 75, 316 on a calculator?

You can find the GCD of 506, 319, 75, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.