GCD of 501, 738, 16, 749 Calculator

Given Input numbers are 501, 738, 16, 749

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

Divisors of 501

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

1, 3, 167, 501

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 501, 738, 16, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 738, 16, 749 is 1.

Therefore, GCD of numbers 501, 738, 16, 749 is 1

Given Input Data is 501, 738, 16, 749

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 749 is 7 x 107

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(501, 738) = 123246

GCD(501, 738) = ( 501 x 738 ) / 123246

GCD(501, 738) = 369738 / 123246

GCD(501, 738) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 501, 738, 16, 749 is 1

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1. What is the GCD of 501, 738, 16, 749?

GCD of 501, 738, 16, 749 is 1

2. Where do I get the detailed procedure to find GCD of 501, 738, 16, 749?

You can find a detailed procedure to find GCD of 501, 738, 16, 749 on our page.

3. How to find GCD of 501, 738, 16, 749 on a calculator?

You can find the GCD of 501, 738, 16, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.