GCD of 838, 713, 15, 724 Calculator

Given Input numbers are 838, 713, 15, 724

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

Divisors of 838

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

1, 2, 419, 838

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 838, 713, 15, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 713, 15, 724 is 1.

Therefore, GCD of numbers 838, 713, 15, 724 is 1

Given Input Data is 838, 713, 15, 724

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 713 is 23 x 31

Prime Factorization of 15 is 3 x 5

Prime Factorization of 724 is 2 x 2 x 181

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(838, 713) = 597494

GCD(838, 713) = ( 838 x 713 ) / 597494

GCD(838, 713) = 597494 / 597494

GCD(838, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 838, 713, 15, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 181, 70, 641
• GCD of 215, 517, 21, 748
• GCD of 882, 233, 43, 977
• GCD of 271, 652, 12, 879
• GCD of 305, 138, 38, 914

1. What is the GCD of 838, 713, 15, 724?

GCD of 838, 713, 15, 724 is 1

2. Where do I get the detailed procedure to find GCD of 838, 713, 15, 724?

You can find a detailed procedure to find GCD of 838, 713, 15, 724 on our page.

3. How to find GCD of 838, 713, 15, 724 on a calculator?

You can find the GCD of 838, 713, 15, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.