GCD of 790, 838, 18, 724 Calculator

Given Input numbers are 790, 838, 18, 724

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

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 838

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

1, 2, 419, 838

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 790, 838, 18, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 838, 18, 724 is 2.

Therefore, GCD of numbers 790, 838, 18, 724 is 2

Given Input Data is 790, 838, 18, 724

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

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 838 is 2 x 419

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 724 is 2 x 2 x 181

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(790, 838) = 331010

GCD(790, 838) = ( 790 x 838 ) / 331010

GCD(790, 838) = 662020 / 331010

GCD(790, 838) = 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 724

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

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

GCD(2, 724) = 1448 / 724

GCD(2, 724) = 2

GCD of 790, 838, 18, 724 is 2

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1. What is the GCD of 790, 838, 18, 724?

GCD of 790, 838, 18, 724 is 2

2. Where do I get the detailed procedure to find GCD of 790, 838, 18, 724?

You can find a detailed procedure to find GCD of 790, 838, 18, 724 on our page.

3. How to find GCD of 790, 838, 18, 724 on a calculator?

You can find the GCD of 790, 838, 18, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.