GCD of 114, 186, 76, 175 Calculator

Given Input numbers are 114, 186, 76, 175

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 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 175

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

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 114, 186, 76, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 186, 76, 175 is 1.

Therefore, GCD of numbers 114, 186, 76, 175 is 1

Given Input Data is 114, 186, 76, 175

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 186 is 2 x 3 x 31

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 175 is 5 x 5 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(114, 186) = 3534

GCD(114, 186) = ( 114 x 186 ) / 3534

GCD(114, 186) = 21204 / 3534

GCD(114, 186) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 76

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

LCM(6, 76) = 228

GCD(6, 76) = ( 6 x 76 ) / 228

GCD(6, 76) = 456 / 228

GCD(6, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 175

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

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

GCD(2, 175) = 350 / 350

GCD(2, 175) = 1

GCD of 114, 186, 76, 175 is 1

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• GCD of 531, 863, 69, 298
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1. What is the GCD of 114, 186, 76, 175?

GCD of 114, 186, 76, 175 is 1

2. Where do I get the detailed procedure to find GCD of 114, 186, 76, 175?

You can find a detailed procedure to find GCD of 114, 186, 76, 175 on our page.

3. How to find GCD of 114, 186, 76, 175 on a calculator?

You can find the GCD of 114, 186, 76, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.