GCD of 516, 261, 43, 780 Calculator

Given Input numbers are 516, 261, 43, 780

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 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 516, 261, 43, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 261, 43, 780 is 1.

Therefore, GCD of numbers 516, 261, 43, 780 is 1

Given Input Data is 516, 261, 43, 780

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 261 is 3 x 3 x 29

Prime Factorization of 43 is 43

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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, 261) = 44892

GCD(516, 261) = ( 516 x 261 ) / 44892

GCD(516, 261) = 134676 / 44892

GCD(516, 261) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 43

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

LCM(3, 43) = 129

GCD(3, 43) = ( 3 x 43 ) / 129

GCD(3, 43) = 129 / 129

GCD(3, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 516, 261, 43, 780 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 936, 63, 388
• GCD of 219, 255, 94, 557
• GCD of 293, 871, 46, 322
• GCD of 354, 179, 30, 859
• GCD of 512, 102, 73, 423

1. What is the GCD of 516, 261, 43, 780?

GCD of 516, 261, 43, 780 is 1

2. Where do I get the detailed procedure to find GCD of 516, 261, 43, 780?

You can find a detailed procedure to find GCD of 516, 261, 43, 780 on our page.

3. How to find GCD of 516, 261, 43, 780 on a calculator?

You can find the GCD of 516, 261, 43, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.