GCD of 446, 371, 816, 695 Calculator

Given Input numbers are 446, 371, 816, 695

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 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

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 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 446, 371, 816, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 371, 816, 695 is 1.

Therefore, GCD of numbers 446, 371, 816, 695 is 1

Given Input Data is 446, 371, 816, 695

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 371 is 7 x 53

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

Prime Factorization of 695 is 5 x 139

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, 371) = 165466

GCD(446, 371) = ( 446 x 371 ) / 165466

GCD(446, 371) = 165466 / 165466

GCD(446, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 446, 371, 816, 695 is 1

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1. What is the GCD of 446, 371, 816, 695?

GCD of 446, 371, 816, 695 is 1

2. Where do I get the detailed procedure to find GCD of 446, 371, 816, 695?

You can find a detailed procedure to find GCD of 446, 371, 816, 695 on our page.

3. How to find GCD of 446, 371, 816, 695 on a calculator?

You can find the GCD of 446, 371, 816, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.