GCD of 900, 496, 81, 339 Calculator

Given Input numbers are 900, 496, 81, 339

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 900, 496, 81, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 496, 81, 339 is 1.

Therefore, GCD of numbers 900, 496, 81, 339 is 1

Given Input Data is 900, 496, 81, 339

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 339 is 3 x 113

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(900, 496) = 111600

GCD(900, 496) = ( 900 x 496 ) / 111600

GCD(900, 496) = 446400 / 111600

GCD(900, 496) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 81

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

LCM(4, 81) = 324

GCD(4, 81) = ( 4 x 81 ) / 324

GCD(4, 81) = 324 / 324

GCD(4, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 900, 496, 81, 339 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 747, 39, 617
• GCD of 488, 444, 27, 821
• GCD of 123, 334, 89, 614
• GCD of 754, 430, 88, 875
• GCD of 445, 609, 62, 748

1. What is the GCD of 900, 496, 81, 339?

GCD of 900, 496, 81, 339 is 1

2. Where do I get the detailed procedure to find GCD of 900, 496, 81, 339?

You can find a detailed procedure to find GCD of 900, 496, 81, 339 on our page.

3. How to find GCD of 900, 496, 81, 339 on a calculator?

You can find the GCD of 900, 496, 81, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.