GCD of 45, 520, 519, 788 Calculator

Given Input numbers are 45, 520, 519, 788

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 45, 520, 519, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 520, 519, 788 is 1.

Therefore, GCD of numbers 45, 520, 519, 788 is 1

Given Input Data is 45, 520, 519, 788

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 519 is 3 x 173

Prime Factorization of 788 is 2 x 2 x 197

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(45, 520) = 4680

GCD(45, 520) = ( 45 x 520 ) / 4680

GCD(45, 520) = 23400 / 4680

GCD(45, 520) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 519

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

LCM(5, 519) = 2595

GCD(5, 519) = ( 5 x 519 ) / 2595

GCD(5, 519) = 2595 / 2595

GCD(5, 519) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

GCD of 45, 520, 519, 788 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 736, 307, 628
• GCD of 46, 704, 678, 488
• GCD of 41, 458, 549, 760
• GCD of 61, 648, 402, 555
• GCD of 86, 868, 835, 397

1. What is the GCD of 45, 520, 519, 788?

GCD of 45, 520, 519, 788 is 1

2. Where do I get the detailed procedure to find GCD of 45, 520, 519, 788?

You can find a detailed procedure to find GCD of 45, 520, 519, 788 on our page.

3. How to find GCD of 45, 520, 519, 788 on a calculator?

You can find the GCD of 45, 520, 519, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.