GCD of 524, 440, 38, 759 Calculator

Given Input numbers are 524, 440, 38, 759

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 524, 440, 38, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 440, 38, 759 is 1.

Therefore, GCD of numbers 524, 440, 38, 759 is 1

Given Input Data is 524, 440, 38, 759

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 38 is 2 x 19

Prime Factorization of 759 is 3 x 11 x 23

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(524, 440) = 57640

GCD(524, 440) = ( 524 x 440 ) / 57640

GCD(524, 440) = 230560 / 57640

GCD(524, 440) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 38

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

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

GCD(4, 38) = 152 / 76

GCD(4, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 759

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

LCM(2, 759) = 1518

GCD(2, 759) = ( 2 x 759 ) / 1518

GCD(2, 759) = 1518 / 1518

GCD(2, 759) = 1

GCD of 524, 440, 38, 759 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 460, 34, 940
• GCD of 236, 823, 13, 723
• GCD of 276, 858, 15, 651
• GCD of 606, 321, 35, 409
• GCD of 646, 398, 49, 760

1. What is the GCD of 524, 440, 38, 759?

GCD of 524, 440, 38, 759 is 1

2. Where do I get the detailed procedure to find GCD of 524, 440, 38, 759?

You can find a detailed procedure to find GCD of 524, 440, 38, 759 on our page.

3. How to find GCD of 524, 440, 38, 759 on a calculator?

You can find the GCD of 524, 440, 38, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.