GCD of 420, 394, 65, 446 Calculator

Given Input numbers are 420, 394, 65, 446

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 394

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

1, 2, 197, 394

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 446

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

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 420, 394, 65, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 394, 65, 446 is 1.

Therefore, GCD of numbers 420, 394, 65, 446 is 1

Given Input Data is 420, 394, 65, 446

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 394 is 2 x 197

Prime Factorization of 65 is 5 x 13

Prime Factorization of 446 is 2 x 223

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(420, 394) = 82740

GCD(420, 394) = ( 420 x 394 ) / 82740

GCD(420, 394) = 165480 / 82740

GCD(420, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 420, 394, 65, 446 is 1

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• GCD of 342, 736, 95, 571
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1. What is the GCD of 420, 394, 65, 446?

GCD of 420, 394, 65, 446 is 1

2. Where do I get the detailed procedure to find GCD of 420, 394, 65, 446?

You can find a detailed procedure to find GCD of 420, 394, 65, 446 on our page.

3. How to find GCD of 420, 394, 65, 446 on a calculator?

You can find the GCD of 420, 394, 65, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.