GCD of 816, 984, 85, 725 Calculator

Given Input numbers are 816, 984, 85, 725

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 725

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

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 816, 984, 85, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 984, 85, 725 is 1.

Therefore, GCD of numbers 816, 984, 85, 725 is 1

Given Input Data is 816, 984, 85, 725

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 85 is 5 x 17

Prime Factorization of 725 is 5 x 5 x 29

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(816, 984) = 33456

GCD(816, 984) = ( 816 x 984 ) / 33456

GCD(816, 984) = 802944 / 33456

GCD(816, 984) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 85

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

LCM(24, 85) = 2040

GCD(24, 85) = ( 24 x 85 ) / 2040

GCD(24, 85) = 2040 / 2040

GCD(24, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 816, 984, 85, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 750, 84, 404
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• GCD of 709, 181, 90, 752

1. What is the GCD of 816, 984, 85, 725?

GCD of 816, 984, 85, 725 is 1

2. Where do I get the detailed procedure to find GCD of 816, 984, 85, 725?

You can find a detailed procedure to find GCD of 816, 984, 85, 725 on our page.

3. How to find GCD of 816, 984, 85, 725 on a calculator?

You can find the GCD of 816, 984, 85, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.