GCD of 736, 574, 18, 829 Calculator

Given Input numbers are 736, 574, 18, 829

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 736, 574, 18, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 574, 18, 829 is 1.

Therefore, GCD of numbers 736, 574, 18, 829 is 1

Given Input Data is 736, 574, 18, 829

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 574 is 2 x 7 x 41

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 829 is 829

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, 574) = 211232

GCD(736, 574) = ( 736 x 574 ) / 211232

GCD(736, 574) = 422464 / 211232

GCD(736, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

GCD of 736, 574, 18, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 292, 49, 391
• GCD of 689, 244, 37, 727
• GCD of 561, 128, 26, 299
• GCD of 338, 111, 39, 898
• GCD of 618, 125, 59, 912

1. What is the GCD of 736, 574, 18, 829?

GCD of 736, 574, 18, 829 is 1

2. Where do I get the detailed procedure to find GCD of 736, 574, 18, 829?

You can find a detailed procedure to find GCD of 736, 574, 18, 829 on our page.

3. How to find GCD of 736, 574, 18, 829 on a calculator?

You can find the GCD of 736, 574, 18, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.