GCD of 799, 584, 450, 461 Calculator

Given Input numbers are 799, 584, 450, 461

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

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

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 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 799, 584, 450, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 799, 584, 450, 461 is 1.

Therefore, GCD of numbers 799, 584, 450, 461 is 1

Given Input Data is 799, 584, 450, 461

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

Prime Factorization of 799 is 17 x 47

Prime Factorization of 584 is 2 x 2 x 2 x 73

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

Prime Factorization of 461 is 461

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(799, 584) = 466616

GCD(799, 584) = ( 799 x 584 ) / 466616

GCD(799, 584) = 466616 / 466616

GCD(799, 584) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 799, 584, 450, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 841, 545, 764
• GCD of 333, 225, 608, 222
• GCD of 154, 733, 885, 987
• GCD of 403, 119, 308, 673
• GCD of 469, 745, 279, 455

1. What is the GCD of 799, 584, 450, 461?

GCD of 799, 584, 450, 461 is 1

2. Where do I get the detailed procedure to find GCD of 799, 584, 450, 461?

You can find a detailed procedure to find GCD of 799, 584, 450, 461 on our page.

3. How to find GCD of 799, 584, 450, 461 on a calculator?

You can find the GCD of 799, 584, 450, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.