GCD of 305, 933, 152, 176 Calculator

Given Input numbers are 305, 933, 152, 176

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 305, 933, 152, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 933, 152, 176 is 1.

Therefore, GCD of numbers 305, 933, 152, 176 is 1

Given Input Data is 305, 933, 152, 176

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 933 is 3 x 311

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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(305, 933) = 284565

GCD(305, 933) = ( 305 x 933 ) / 284565

GCD(305, 933) = 284565 / 284565

GCD(305, 933) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 305, 933, 152, 176 is 1

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1. What is the GCD of 305, 933, 152, 176?

GCD of 305, 933, 152, 176 is 1

2. Where do I get the detailed procedure to find GCD of 305, 933, 152, 176?

You can find a detailed procedure to find GCD of 305, 933, 152, 176 on our page.

3. How to find GCD of 305, 933, 152, 176 on a calculator?

You can find the GCD of 305, 933, 152, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.