GCD of 519, 480, 891, 745 Calculator

Given Input numbers are 519, 480, 891, 745

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

Divisors of 519

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

1, 3, 173, 519

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 519, 480, 891, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 519, 480, 891, 745 is 1.

Therefore, GCD of numbers 519, 480, 891, 745 is 1

Given Input Data is 519, 480, 891, 745

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

Prime Factorization of 519 is 3 x 173

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 745 is 5 x 149

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(519, 480) = 83040

GCD(519, 480) = ( 519 x 480 ) / 83040

GCD(519, 480) = 249120 / 83040

GCD(519, 480) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 891

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

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

GCD(3, 891) = 2673 / 891

GCD(3, 891) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 745

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

LCM(3, 745) = 2235

GCD(3, 745) = ( 3 x 745 ) / 2235

GCD(3, 745) = 2235 / 2235

GCD(3, 745) = 1

GCD of 519, 480, 891, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 124, 884, 884
• GCD of 321, 342, 508, 188
• GCD of 701, 223, 333, 924
• GCD of 272, 452, 572, 216
• GCD of 601, 154, 952, 248

1. What is the GCD of 519, 480, 891, 745?

GCD of 519, 480, 891, 745 is 1

2. Where do I get the detailed procedure to find GCD of 519, 480, 891, 745?

You can find a detailed procedure to find GCD of 519, 480, 891, 745 on our page.

3. How to find GCD of 519, 480, 891, 745 on a calculator?

You can find the GCD of 519, 480, 891, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.