GCD of 226, 823, 320, 725 Calculator

Given Input numbers are 226, 823, 320, 725

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 226, 823, 320, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 823, 320, 725 is 1.

Therefore, GCD of numbers 226, 823, 320, 725 is 1

Given Input Data is 226, 823, 320, 725

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 823 is 823

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(226, 823) = 185998

GCD(226, 823) = ( 226 x 823 ) / 185998

GCD(226, 823) = 185998 / 185998

GCD(226, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 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 226, 823, 320, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 404, 184, 995
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1. What is the GCD of 226, 823, 320, 725?

GCD of 226, 823, 320, 725 is 1

2. Where do I get the detailed procedure to find GCD of 226, 823, 320, 725?

You can find a detailed procedure to find GCD of 226, 823, 320, 725 on our page.

3. How to find GCD of 226, 823, 320, 725 on a calculator?

You can find the GCD of 226, 823, 320, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.