GCD of 128, 300, 87, 473 Calculator

Given Input numbers are 128, 300, 87, 473

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

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 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 128, 300, 87, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 300, 87, 473 is 1.

Therefore, GCD of numbers 128, 300, 87, 473 is 1

Given Input Data is 128, 300, 87, 473

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

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 473 is 11 x 43

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(128, 300) = 9600

GCD(128, 300) = ( 128 x 300 ) / 9600

GCD(128, 300) = 38400 / 9600

GCD(128, 300) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 87

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

LCM(4, 87) = 348

GCD(4, 87) = ( 4 x 87 ) / 348

GCD(4, 87) = 348 / 348

GCD(4, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 128, 300, 87, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 536, 55, 445
• GCD of 781, 894, 89, 957
• GCD of 111, 117, 27, 363
• GCD of 492, 739, 50, 448
• GCD of 562, 993, 78, 937

1. What is the GCD of 128, 300, 87, 473?

GCD of 128, 300, 87, 473 is 1

2. Where do I get the detailed procedure to find GCD of 128, 300, 87, 473?

You can find a detailed procedure to find GCD of 128, 300, 87, 473 on our page.

3. How to find GCD of 128, 300, 87, 473 on a calculator?

You can find the GCD of 128, 300, 87, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.