GCD of 446, 133, 312, 356 Calculator

Given Input numbers are 446, 133, 312, 356

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 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 446, 133, 312, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 133, 312, 356 is 1.

Therefore, GCD of numbers 446, 133, 312, 356 is 1

Given Input Data is 446, 133, 312, 356

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 133 is 7 x 19

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 356 is 2 x 2 x 89

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, 133) = 59318

GCD(446, 133) = ( 446 x 133 ) / 59318

GCD(446, 133) = 59318 / 59318

GCD(446, 133) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 446, 133, 312, 356 is 1

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1. What is the GCD of 446, 133, 312, 356?

GCD of 446, 133, 312, 356 is 1

2. Where do I get the detailed procedure to find GCD of 446, 133, 312, 356?

You can find a detailed procedure to find GCD of 446, 133, 312, 356 on our page.

3. How to find GCD of 446, 133, 312, 356 on a calculator?

You can find the GCD of 446, 133, 312, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.