GCD of 942, 330, 733, 311 Calculator

Given Input numbers are 942, 330, 733, 311

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 942, 330, 733, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 330, 733, 311 is 1.

Therefore, GCD of numbers 942, 330, 733, 311 is 1

Given Input Data is 942, 330, 733, 311

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 733 is 733

Prime Factorization of 311 is 311

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(942, 330) = 51810

GCD(942, 330) = ( 942 x 330 ) / 51810

GCD(942, 330) = 310860 / 51810

GCD(942, 330) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 733

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

LCM(6, 733) = 4398

GCD(6, 733) = ( 6 x 733 ) / 4398

GCD(6, 733) = 4398 / 4398

GCD(6, 733) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 942, 330, 733, 311 is 1

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1. What is the GCD of 942, 330, 733, 311?

GCD of 942, 330, 733, 311 is 1

2. Where do I get the detailed procedure to find GCD of 942, 330, 733, 311?

You can find a detailed procedure to find GCD of 942, 330, 733, 311 on our page.

3. How to find GCD of 942, 330, 733, 311 on a calculator?

You can find the GCD of 942, 330, 733, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.