GCD of 446, 394, 48, 820 Calculator

Given Input numbers are 446, 394, 48, 820

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 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 446, 394, 48, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 394, 48, 820 is 2.

Therefore, GCD of numbers 446, 394, 48, 820 is 2

Given Input Data is 446, 394, 48, 820

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 394 is 2 x 197

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 820 is 2 x 2 x 5 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 394) = 87862

GCD(446, 394) = ( 446 x 394 ) / 87862

GCD(446, 394) = 175724 / 87862

GCD(446, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 820

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

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

GCD(2, 820) = 1640 / 820

GCD(2, 820) = 2

GCD of 446, 394, 48, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 534, 43, 828
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• GCD of 970, 593, 22, 552
• GCD of 400, 211, 79, 536

1. What is the GCD of 446, 394, 48, 820?

GCD of 446, 394, 48, 820 is 2

2. Where do I get the detailed procedure to find GCD of 446, 394, 48, 820?

You can find a detailed procedure to find GCD of 446, 394, 48, 820 on our page.

3. How to find GCD of 446, 394, 48, 820 on a calculator?

You can find the GCD of 446, 394, 48, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.