GCD of 736, 838, 36, 523 Calculator

Given Input numbers are 736, 838, 36, 523

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 736, 838, 36, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 838, 36, 523 is 1.

Therefore, GCD of numbers 736, 838, 36, 523 is 1

Given Input Data is 736, 838, 36, 523

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 838 is 2 x 419

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 523 is 523

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(736, 838) = 308384

GCD(736, 838) = ( 736 x 838 ) / 308384

GCD(736, 838) = 616768 / 308384

GCD(736, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 523

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

LCM(2, 523) = 1046

GCD(2, 523) = ( 2 x 523 ) / 1046

GCD(2, 523) = 1046 / 1046

GCD(2, 523) = 1

GCD of 736, 838, 36, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 193, 82, 596
• GCD of 247, 342, 16, 822
• GCD of 980, 280, 54, 667
• GCD of 611, 587, 62, 280
• GCD of 673, 404, 81, 946

1. What is the GCD of 736, 838, 36, 523?

GCD of 736, 838, 36, 523 is 1

2. Where do I get the detailed procedure to find GCD of 736, 838, 36, 523?

You can find a detailed procedure to find GCD of 736, 838, 36, 523 on our page.

3. How to find GCD of 736, 838, 36, 523 on a calculator?

You can find the GCD of 736, 838, 36, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.