GCD of 420, 998, 730, 445 Calculator

Given Input numbers are 420, 998, 730, 445

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 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Greatest Common Divisior

We found the divisors of 420, 998, 730, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 998, 730, 445 is 1.

Therefore, GCD of numbers 420, 998, 730, 445 is 1

Given Input Data is 420, 998, 730, 445

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 998 is 2 x 499

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 445 is 5 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(420, 998) = 209580

GCD(420, 998) = ( 420 x 998 ) / 209580

GCD(420, 998) = 419160 / 209580

GCD(420, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 730

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

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

GCD(2, 730) = 1460 / 730

GCD(2, 730) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 445

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

LCM(2, 445) = 890

GCD(2, 445) = ( 2 x 445 ) / 890

GCD(2, 445) = 890 / 890

GCD(2, 445) = 1

GCD of 420, 998, 730, 445 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 397, 605, 524
• GCD of 723, 790, 652, 728
• GCD of 784, 299, 968, 674
• GCD of 738, 143, 290, 608
• GCD of 600, 364, 714, 228

1. What is the GCD of 420, 998, 730, 445?

GCD of 420, 998, 730, 445 is 1

2. Where do I get the detailed procedure to find GCD of 420, 998, 730, 445?

You can find a detailed procedure to find GCD of 420, 998, 730, 445 on our page.

3. How to find GCD of 420, 998, 730, 445 on a calculator?

You can find the GCD of 420, 998, 730, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.