GCD of 518, 748, 81, 745 Calculator

Given Input numbers are 518, 748, 81, 745

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

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 518, 748, 81, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 748, 81, 745 is 1.

Therefore, GCD of numbers 518, 748, 81, 745 is 1

Given Input Data is 518, 748, 81, 745

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 81 is 3 x 3 x 3 x 3

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(518, 748) = 193732

GCD(518, 748) = ( 518 x 748 ) / 193732

GCD(518, 748) = 387464 / 193732

GCD(518, 748) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 518, 748, 81, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 413, 76, 804
• GCD of 931, 310, 69, 865
• GCD of 907, 701, 25, 979
• GCD of 498, 505, 50, 806
• GCD of 938, 594, 52, 858

1. What is the GCD of 518, 748, 81, 745?

GCD of 518, 748, 81, 745 is 1

2. Where do I get the detailed procedure to find GCD of 518, 748, 81, 745?

You can find a detailed procedure to find GCD of 518, 748, 81, 745 on our page.

3. How to find GCD of 518, 748, 81, 745 on a calculator?

You can find the GCD of 518, 748, 81, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.