GCD of 920, 888, 75, 576 Calculator

Given Input numbers are 920, 888, 75, 576

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 920, 888, 75, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 888, 75, 576 is 1.

Therefore, GCD of numbers 920, 888, 75, 576 is 1

Given Input Data is 920, 888, 75, 576

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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(920, 888) = 102120

GCD(920, 888) = ( 920 x 888 ) / 102120

GCD(920, 888) = 816960 / 102120

GCD(920, 888) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 75

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

LCM(8, 75) = 600

GCD(8, 75) = ( 8 x 75 ) / 600

GCD(8, 75) = 600 / 600

GCD(8, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

GCD of 920, 888, 75, 576 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 399, 32, 477
• GCD of 628, 706, 27, 263
• GCD of 950, 223, 35, 913
• GCD of 768, 873, 83, 811
• GCD of 879, 412, 21, 482

1. What is the GCD of 920, 888, 75, 576?

GCD of 920, 888, 75, 576 is 1

2. Where do I get the detailed procedure to find GCD of 920, 888, 75, 576?

You can find a detailed procedure to find GCD of 920, 888, 75, 576 on our page.

3. How to find GCD of 920, 888, 75, 576 on a calculator?

You can find the GCD of 920, 888, 75, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.