GCD of 75, 728, 924, 189 Calculator

Given Input numbers are 75, 728, 924, 189

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 75, 728, 924, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 728, 924, 189 is 1.

Therefore, GCD of numbers 75, 728, 924, 189 is 1

Given Input Data is 75, 728, 924, 189

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 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 189 is 3 x 3 x 3 x 7

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, 728) = 54600

GCD(75, 728) = ( 75 x 728 ) / 54600

GCD(75, 728) = 54600 / 54600

GCD(75, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 75, 728, 924, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 398, 694, 280
• GCD of 43, 132, 781, 375
• GCD of 25, 747, 993, 819
• GCD of 51, 308, 943, 274
• GCD of 63, 106, 828, 890

1. What is the GCD of 75, 728, 924, 189?

GCD of 75, 728, 924, 189 is 1

2. Where do I get the detailed procedure to find GCD of 75, 728, 924, 189?

You can find a detailed procedure to find GCD of 75, 728, 924, 189 on our page.

3. How to find GCD of 75, 728, 924, 189 on a calculator?

You can find the GCD of 75, 728, 924, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.