GCD of 407, 923, 312, 332 Calculator

Given Input numbers are 407, 923, 312, 332

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 923

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

1, 13, 71, 923

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 407, 923, 312, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 923, 312, 332 is 1.

Therefore, GCD of numbers 407, 923, 312, 332 is 1

Given Input Data is 407, 923, 312, 332

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 923 is 13 x 71

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 332 is 2 x 2 x 83

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(407, 923) = 375661

GCD(407, 923) = ( 407 x 923 ) / 375661

GCD(407, 923) = 375661 / 375661

GCD(407, 923) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

GCD of 407, 923, 312, 332 is 1

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1. What is the GCD of 407, 923, 312, 332?

GCD of 407, 923, 312, 332 is 1

2. Where do I get the detailed procedure to find GCD of 407, 923, 312, 332?

You can find a detailed procedure to find GCD of 407, 923, 312, 332 on our page.

3. How to find GCD of 407, 923, 312, 332 on a calculator?

You can find the GCD of 407, 923, 312, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.