GCD of 450, 994, 54, 261 Calculator

Given Input numbers are 450, 994, 54, 261

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 261

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

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 450, 994, 54, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 994, 54, 261 is 1.

Therefore, GCD of numbers 450, 994, 54, 261 is 1

Given Input Data is 450, 994, 54, 261

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 261 is 3 x 3 x 29

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(450, 994) = 223650

GCD(450, 994) = ( 450 x 994 ) / 223650

GCD(450, 994) = 447300 / 223650

GCD(450, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 261

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

LCM(2, 261) = 522

GCD(2, 261) = ( 2 x 261 ) / 522

GCD(2, 261) = 522 / 522

GCD(2, 261) = 1

GCD of 450, 994, 54, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 678, 92, 240
• GCD of 905, 560, 94, 534
• GCD of 601, 614, 43, 501
• GCD of 873, 446, 17, 286
• GCD of 680, 332, 27, 906

1. What is the GCD of 450, 994, 54, 261?

GCD of 450, 994, 54, 261 is 1

2. Where do I get the detailed procedure to find GCD of 450, 994, 54, 261?

You can find a detailed procedure to find GCD of 450, 994, 54, 261 on our page.

3. How to find GCD of 450, 994, 54, 261 on a calculator?

You can find the GCD of 450, 994, 54, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.