GCD of 300, 708, 904, 495 Calculator

Given Input numbers are 300, 708, 904, 495

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 300, 708, 904, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 708, 904, 495 is 1.

Therefore, GCD of numbers 300, 708, 904, 495 is 1

Given Input Data is 300, 708, 904, 495

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 495 is 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(300, 708) = 17700

GCD(300, 708) = ( 300 x 708 ) / 17700

GCD(300, 708) = 212400 / 17700

GCD(300, 708) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 904

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

LCM(12, 904) = 2712

GCD(12, 904) = ( 12 x 904 ) / 2712

GCD(12, 904) = 10848 / 2712

GCD(12, 904) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 495

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

LCM(4, 495) = 1980

GCD(4, 495) = ( 4 x 495 ) / 1980

GCD(4, 495) = 1980 / 1980

GCD(4, 495) = 1

GCD of 300, 708, 904, 495 is 1

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1. What is the GCD of 300, 708, 904, 495?

GCD of 300, 708, 904, 495 is 1

2. Where do I get the detailed procedure to find GCD of 300, 708, 904, 495?

You can find a detailed procedure to find GCD of 300, 708, 904, 495 on our page.

3. How to find GCD of 300, 708, 904, 495 on a calculator?

You can find the GCD of 300, 708, 904, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.