GCD of 75, 448, 864, 645 Calculator

Given Input numbers are 75, 448, 864, 645

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

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 75, 448, 864, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 448, 864, 645 is 1.

Therefore, GCD of numbers 75, 448, 864, 645 is 1

Given Input Data is 75, 448, 864, 645

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 645 is 3 x 5 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(75, 448) = 33600

GCD(75, 448) = ( 75 x 448 ) / 33600

GCD(75, 448) = 33600 / 33600

GCD(75, 448) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 75, 448, 864, 645 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 848, 621, 260
• GCD of 45, 627, 101, 729
• GCD of 16, 506, 370, 921
• GCD of 25, 958, 386, 626
• GCD of 34, 172, 107, 888

1. What is the GCD of 75, 448, 864, 645?

GCD of 75, 448, 864, 645 is 1

2. Where do I get the detailed procedure to find GCD of 75, 448, 864, 645?

You can find a detailed procedure to find GCD of 75, 448, 864, 645 on our page.

3. How to find GCD of 75, 448, 864, 645 on a calculator?

You can find the GCD of 75, 448, 864, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.