GCD of 446, 678, 25, 812 Calculator

Given Input numbers are 446, 678, 25, 812

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

Divisors of 446

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

1, 2, 223, 446

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 446, 678, 25, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 678, 25, 812 is 1.

Therefore, GCD of numbers 446, 678, 25, 812 is 1

Given Input Data is 446, 678, 25, 812

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 25 is 5 x 5

Prime Factorization of 812 is 2 x 2 x 7 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(446, 678) = 151194

GCD(446, 678) = ( 446 x 678 ) / 151194

GCD(446, 678) = 302388 / 151194

GCD(446, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 446, 678, 25, 812 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 386, 32, 563
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• GCD of 569, 804, 47, 480

1. What is the GCD of 446, 678, 25, 812?

GCD of 446, 678, 25, 812 is 1

2. Where do I get the detailed procedure to find GCD of 446, 678, 25, 812?

You can find a detailed procedure to find GCD of 446, 678, 25, 812 on our page.

3. How to find GCD of 446, 678, 25, 812 on a calculator?

You can find the GCD of 446, 678, 25, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.