GCD of 309, 923, 466, 160 Calculator

Given Input numbers are 309, 923, 466, 160

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 309, 923, 466, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 923, 466, 160 is 1.

Therefore, GCD of numbers 309, 923, 466, 160 is 1

Given Input Data is 309, 923, 466, 160

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 923 is 13 x 71

Prime Factorization of 466 is 2 x 233

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(309, 923) = 285207

GCD(309, 923) = ( 309 x 923 ) / 285207

GCD(309, 923) = 285207 / 285207

GCD(309, 923) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 309, 923, 466, 160 is 1

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1. What is the GCD of 309, 923, 466, 160?

GCD of 309, 923, 466, 160 is 1

2. Where do I get the detailed procedure to find GCD of 309, 923, 466, 160?

You can find a detailed procedure to find GCD of 309, 923, 466, 160 on our page.

3. How to find GCD of 309, 923, 466, 160 on a calculator?

You can find the GCD of 309, 923, 466, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.