GCD of 418, 748, 365, 520 Calculator

Given Input numbers are 418, 748, 365, 520

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

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 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

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

Greatest Common Divisior

We found the divisors of 418, 748, 365, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 748, 365, 520 is 1.

Therefore, GCD of numbers 418, 748, 365, 520 is 1

Given Input Data is 418, 748, 365, 520

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

Prime Factorization of 418 is 2 x 11 x 19

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 520 is 2 x 2 x 2 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(418, 748) = 14212

GCD(418, 748) = ( 418 x 748 ) / 14212

GCD(418, 748) = 312664 / 14212

GCD(418, 748) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 365

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

LCM(22, 365) = 8030

GCD(22, 365) = ( 22 x 365 ) / 8030

GCD(22, 365) = 8030 / 8030

GCD(22, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 418, 748, 365, 520 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 258, 254, 798
• GCD of 922, 562, 240, 149
• GCD of 196, 411, 680, 952
• GCD of 453, 510, 779, 742
• GCD of 533, 742, 225, 192

1. What is the GCD of 418, 748, 365, 520?

GCD of 418, 748, 365, 520 is 1

2. Where do I get the detailed procedure to find GCD of 418, 748, 365, 520?

You can find a detailed procedure to find GCD of 418, 748, 365, 520 on our page.

3. How to find GCD of 418, 748, 365, 520 on a calculator?

You can find the GCD of 418, 748, 365, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.