GCD of 942, 204, 905 Calculator

Given Input numbers are 942, 204, 905

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 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 942, 204, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 204, 905 is 1.

Therefore, GCD of numbers 942, 204, 905 is 1

Given Input Data is 942, 204, 905

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 204 is 2 x 2 x 3 x 17

Prime Factorization of 905 is 5 x 181

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, 204) = 32028

GCD(942, 204) = ( 942 x 204 ) / 32028

GCD(942, 204) = 192168 / 32028

GCD(942, 204) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 905

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

LCM(6, 905) = 5430

GCD(6, 905) = ( 6 x 905 ) / 5430

GCD(6, 905) = 5430 / 5430

GCD(6, 905) = 1

GCD of 942, 204, 905 is 1

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1. What is the GCD of 942, 204, 905?

GCD of 942, 204, 905 is 1

2. Where do I get the detailed procedure to find GCD of 942, 204, 905?

You can find a detailed procedure to find GCD of 942, 204, 905 on our page.

3. How to find GCD of 942, 204, 905 on a calculator?

You can find the GCD of 942, 204, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.