GCD of 807, 225, 446, 364 Calculator

Given Input numbers are 807, 225, 446, 364

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

Divisors of 807

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

1, 3, 269, 807

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 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 807, 225, 446, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 225, 446, 364 is 1.

Therefore, GCD of numbers 807, 225, 446, 364 is 1

Given Input Data is 807, 225, 446, 364

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

Prime Factorization of 807 is 3 x 269

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(807, 225) = 60525

GCD(807, 225) = ( 807 x 225 ) / 60525

GCD(807, 225) = 181575 / 60525

GCD(807, 225) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 446

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

LCM(3, 446) = 1338

GCD(3, 446) = ( 3 x 446 ) / 1338

GCD(3, 446) = 1338 / 1338

GCD(3, 446) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 807, 225, 446, 364 is 1

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1. What is the GCD of 807, 225, 446, 364?

GCD of 807, 225, 446, 364 is 1

2. Where do I get the detailed procedure to find GCD of 807, 225, 446, 364?

You can find a detailed procedure to find GCD of 807, 225, 446, 364 on our page.

3. How to find GCD of 807, 225, 446, 364 on a calculator?

You can find the GCD of 807, 225, 446, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.