GCD of 748, 935, 14, 501 Calculator

Given Input numbers are 748, 935, 14, 501

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

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 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 748, 935, 14, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 935, 14, 501 is 1.

Therefore, GCD of numbers 748, 935, 14, 501 is 1

Given Input Data is 748, 935, 14, 501

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

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

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 14 is 2 x 7

Prime Factorization of 501 is 3 x 167

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(748, 935) = 3740

GCD(748, 935) = ( 748 x 935 ) / 3740

GCD(748, 935) = 699380 / 3740

GCD(748, 935) = 187

Step2:

Here we consider the GCD from the above i.e. 187 as first number and the next as 14

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

LCM(187, 14) = 2618

GCD(187, 14) = ( 187 x 14 ) / 2618

GCD(187, 14) = 2618 / 2618

GCD(187, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 748, 935, 14, 501 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 133, 59, 332
• GCD of 161, 253, 61, 572
• GCD of 202, 636, 21, 279
• GCD of 460, 264, 62, 892
• GCD of 492, 949, 16, 476

1. What is the GCD of 748, 935, 14, 501?

GCD of 748, 935, 14, 501 is 1

2. Where do I get the detailed procedure to find GCD of 748, 935, 14, 501?

You can find a detailed procedure to find GCD of 748, 935, 14, 501 on our page.

3. How to find GCD of 748, 935, 14, 501 on a calculator?

You can find the GCD of 748, 935, 14, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.