GCD of 516, 508, 75, 545 Calculator

Given Input numbers are 516, 508, 75, 545

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 516, 508, 75, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 508, 75, 545 is 1.

Therefore, GCD of numbers 516, 508, 75, 545 is 1

Given Input Data is 516, 508, 75, 545

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 545 is 5 x 109

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(516, 508) = 65532

GCD(516, 508) = ( 516 x 508 ) / 65532

GCD(516, 508) = 262128 / 65532

GCD(516, 508) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 75

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

LCM(4, 75) = 300

GCD(4, 75) = ( 4 x 75 ) / 300

GCD(4, 75) = 300 / 300

GCD(4, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

GCD of 516, 508, 75, 545 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 760, 97, 911
• GCD of 737, 524, 84, 261
• GCD of 961, 968, 76, 167
• GCD of 632, 765, 40, 686
• GCD of 727, 374, 41, 570

1. What is the GCD of 516, 508, 75, 545?

GCD of 516, 508, 75, 545 is 1

2. Where do I get the detailed procedure to find GCD of 516, 508, 75, 545?

You can find a detailed procedure to find GCD of 516, 508, 75, 545 on our page.

3. How to find GCD of 516, 508, 75, 545 on a calculator?

You can find the GCD of 516, 508, 75, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.