GCD of 743, 825, 38, 799 Calculator

Given Input numbers are 743, 825, 38, 799

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 38

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

1, 2, 19, 38

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Greatest Common Divisior

We found the divisors of 743, 825, 38, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 825, 38, 799 is 1.

Therefore, GCD of numbers 743, 825, 38, 799 is 1

Given Input Data is 743, 825, 38, 799

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

Prime Factorization of 743 is 743

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 38 is 2 x 19

Prime Factorization of 799 is 17 x 47

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(743, 825) = 612975

GCD(743, 825) = ( 743 x 825 ) / 612975

GCD(743, 825) = 612975 / 612975

GCD(743, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 799

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

LCM(1, 799) = 799

GCD(1, 799) = ( 1 x 799 ) / 799

GCD(1, 799) = 799 / 799

GCD(1, 799) = 1

GCD of 743, 825, 38, 799 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 705, 12, 523
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• GCD of 535, 143, 36, 640
• GCD of 326, 477, 43, 270
• GCD of 466, 675, 92, 690

1. What is the GCD of 743, 825, 38, 799?

GCD of 743, 825, 38, 799 is 1

2. Where do I get the detailed procedure to find GCD of 743, 825, 38, 799?

You can find a detailed procedure to find GCD of 743, 825, 38, 799 on our page.

3. How to find GCD of 743, 825, 38, 799 on a calculator?

You can find the GCD of 743, 825, 38, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.