GCD of 114, 187, 175, 994 Calculator

Given Input numbers are 114, 187, 175, 994

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 187

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

1, 11, 17, 187

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

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 114, 187, 175, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 187, 175, 994 is 1.

Therefore, GCD of numbers 114, 187, 175, 994 is 1

Given Input Data is 114, 187, 175, 994

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 187 is 11 x 17

Prime Factorization of 175 is 5 x 5 x 7

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(114, 187) = 21318

GCD(114, 187) = ( 114 x 187 ) / 21318

GCD(114, 187) = 21318 / 21318

GCD(114, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 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 114, 187, 175, 994 is 1

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1. What is the GCD of 114, 187, 175, 994?

GCD of 114, 187, 175, 994 is 1

2. Where do I get the detailed procedure to find GCD of 114, 187, 175, 994?

You can find a detailed procedure to find GCD of 114, 187, 175, 994 on our page.

3. How to find GCD of 114, 187, 175, 994 on a calculator?

You can find the GCD of 114, 187, 175, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.