GCD of 73, 261, 430, 990 Calculator

Given Input numbers are 73, 261, 430, 990

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

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 73, 261, 430, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 261, 430, 990 is 1.

Therefore, GCD of numbers 73, 261, 430, 990 is 1

Given Input Data is 73, 261, 430, 990

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

Prime Factorization of 73 is 73

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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(73, 261) = 19053

GCD(73, 261) = ( 73 x 261 ) / 19053

GCD(73, 261) = 19053 / 19053

GCD(73, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 430

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

LCM(1, 430) = 430

GCD(1, 430) = ( 1 x 430 ) / 430

GCD(1, 430) = 430 / 430

GCD(1, 430) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 73, 261, 430, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 983, 252, 179
• GCD of 77, 876, 178, 860
• GCD of 12, 310, 463, 164
• GCD of 50, 178, 408, 890
• GCD of 81, 935, 421, 399

1. What is the GCD of 73, 261, 430, 990?

GCD of 73, 261, 430, 990 is 1

2. Where do I get the detailed procedure to find GCD of 73, 261, 430, 990?

You can find a detailed procedure to find GCD of 73, 261, 430, 990 on our page.

3. How to find GCD of 73, 261, 430, 990 on a calculator?

You can find the GCD of 73, 261, 430, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.