GCD of 322, 388, 75, 942 Calculator

Given Input numbers are 322, 388, 75, 942

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 942

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

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

Greatest Common Divisior

We found the divisors of 322, 388, 75, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 388, 75, 942 is 1.

Therefore, GCD of numbers 322, 388, 75, 942 is 1

Given Input Data is 322, 388, 75, 942

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 942 is 2 x 3 x 157

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(322, 388) = 62468

GCD(322, 388) = ( 322 x 388 ) / 62468

GCD(322, 388) = 124936 / 62468

GCD(322, 388) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 322, 388, 75, 942 is 1

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• GCD of 306, 522, 52, 565
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1. What is the GCD of 322, 388, 75, 942?

GCD of 322, 388, 75, 942 is 1

2. Where do I get the detailed procedure to find GCD of 322, 388, 75, 942?

You can find a detailed procedure to find GCD of 322, 388, 75, 942 on our page.

3. How to find GCD of 322, 388, 75, 942 on a calculator?

You can find the GCD of 322, 388, 75, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.