GCD of 75, 528, 187, 994 Calculator

Given Input numbers are 75, 528, 187, 994

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 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 75, 528, 187, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 528, 187, 994 is 1.

Therefore, GCD of numbers 75, 528, 187, 994 is 1

Given Input Data is 75, 528, 187, 994

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 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 187 is 11 x 17

Prime Factorization of 994 is 2 x 7 x 71

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, 528) = 13200

GCD(75, 528) = ( 75 x 528 ) / 13200

GCD(75, 528) = 39600 / 13200

GCD(75, 528) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 187

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

LCM(3, 187) = 561

GCD(3, 187) = ( 3 x 187 ) / 561

GCD(3, 187) = 561 / 561

GCD(3, 187) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 75, 528, 187, 994 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 880, 847, 626
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• GCD of 83, 225, 903, 211

1. What is the GCD of 75, 528, 187, 994?

GCD of 75, 528, 187, 994 is 1

2. Where do I get the detailed procedure to find GCD of 75, 528, 187, 994?

You can find a detailed procedure to find GCD of 75, 528, 187, 994 on our page.

3. How to find GCD of 75, 528, 187, 994 on a calculator?

You can find the GCD of 75, 528, 187, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.