GCD of 462, 331, 305, 946 Calculator

Given Input numbers are 462, 331, 305, 946

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 305

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

1, 5, 61, 305

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 462, 331, 305, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 331, 305, 946 is 1.

Therefore, GCD of numbers 462, 331, 305, 946 is 1

Given Input Data is 462, 331, 305, 946

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 331 is 331

Prime Factorization of 305 is 5 x 61

Prime Factorization of 946 is 2 x 11 x 43

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(462, 331) = 152922

GCD(462, 331) = ( 462 x 331 ) / 152922

GCD(462, 331) = 152922 / 152922

GCD(462, 331) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 462, 331, 305, 946 is 1

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1. What is the GCD of 462, 331, 305, 946?

GCD of 462, 331, 305, 946 is 1

2. Where do I get the detailed procedure to find GCD of 462, 331, 305, 946?

You can find a detailed procedure to find GCD of 462, 331, 305, 946 on our page.

3. How to find GCD of 462, 331, 305, 946 on a calculator?

You can find the GCD of 462, 331, 305, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.