GCD of 731, 460, 225, 807 Calculator

Given Input numbers are 731, 460, 225, 807

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 731, 460, 225, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 460, 225, 807 is 1.

Therefore, GCD of numbers 731, 460, 225, 807 is 1

Given Input Data is 731, 460, 225, 807

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 807 is 3 x 269

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(731, 460) = 336260

GCD(731, 460) = ( 731 x 460 ) / 336260

GCD(731, 460) = 336260 / 336260

GCD(731, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

GCD of 731, 460, 225, 807 is 1

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• GCD of 420, 998, 730, 445
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1. What is the GCD of 731, 460, 225, 807?

GCD of 731, 460, 225, 807 is 1

2. Where do I get the detailed procedure to find GCD of 731, 460, 225, 807?

You can find a detailed procedure to find GCD of 731, 460, 225, 807 on our page.

3. How to find GCD of 731, 460, 225, 807 on a calculator?

You can find the GCD of 731, 460, 225, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.