GCD of 725, 805, 993, 838 Calculator

Given Input numbers are 725, 805, 993, 838

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 838

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

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 725, 805, 993, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 805, 993, 838 is 1.

Therefore, GCD of numbers 725, 805, 993, 838 is 1

Given Input Data is 725, 805, 993, 838

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 993 is 3 x 331

Prime Factorization of 838 is 2 x 419

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(725, 805) = 116725

GCD(725, 805) = ( 725 x 805 ) / 116725

GCD(725, 805) = 583625 / 116725

GCD(725, 805) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 993

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

LCM(5, 993) = 4965

GCD(5, 993) = ( 5 x 993 ) / 4965

GCD(5, 993) = 4965 / 4965

GCD(5, 993) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 725, 805, 993, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 538, 890, 585
• GCD of 603, 413, 844, 565
• GCD of 944, 794, 239, 723
• GCD of 578, 826, 318, 601
• GCD of 850, 200, 102, 272

1. What is the GCD of 725, 805, 993, 838?

GCD of 725, 805, 993, 838 is 1

2. Where do I get the detailed procedure to find GCD of 725, 805, 993, 838?

You can find a detailed procedure to find GCD of 725, 805, 993, 838 on our page.

3. How to find GCD of 725, 805, 993, 838 on a calculator?

You can find the GCD of 725, 805, 993, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.