GCD of 725, 900, 39, 397 Calculator

Given Input numbers are 725, 900, 39, 397

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 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 725, 900, 39, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 900, 39, 397 is 1.

Therefore, GCD of numbers 725, 900, 39, 397 is 1

Given Input Data is 725, 900, 39, 397

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 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 39 is 3 x 13

Prime Factorization of 397 is 397

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, 900) = 26100

GCD(725, 900) = ( 725 x 900 ) / 26100

GCD(725, 900) = 652500 / 26100

GCD(725, 900) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 39

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

LCM(25, 39) = 975

GCD(25, 39) = ( 25 x 39 ) / 975

GCD(25, 39) = 975 / 975

GCD(25, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

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

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

GCD of 725, 900, 39, 397 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 877, 69, 860
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• GCD of 939, 378, 58, 430
• GCD of 453, 463, 93, 940

1. What is the GCD of 725, 900, 39, 397?

GCD of 725, 900, 39, 397 is 1

2. Where do I get the detailed procedure to find GCD of 725, 900, 39, 397?

You can find a detailed procedure to find GCD of 725, 900, 39, 397 on our page.

3. How to find GCD of 725, 900, 39, 397 on a calculator?

You can find the GCD of 725, 900, 39, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.