GCD of 393, 933, 735, 942 Calculator

Given Input numbers are 393, 933, 735, 942

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 393, 933, 735, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 933, 735, 942 is 3.

Therefore, GCD of numbers 393, 933, 735, 942 is 3

Given Input Data is 393, 933, 735, 942

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 933 is 3 x 311

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 942 is 2 x 3 x 157

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(393, 933) = 122223

GCD(393, 933) = ( 393 x 933 ) / 122223

GCD(393, 933) = 366669 / 122223

GCD(393, 933) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 735

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

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

GCD(3, 735) = 2205 / 735

GCD(3, 735) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 942

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

LCM(3, 942) = 942

GCD(3, 942) = ( 3 x 942 ) / 942

GCD(3, 942) = 2826 / 942

GCD(3, 942) = 3

GCD of 393, 933, 735, 942 is 3

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1. What is the GCD of 393, 933, 735, 942?

GCD of 393, 933, 735, 942 is 3

2. Where do I get the detailed procedure to find GCD of 393, 933, 735, 942?

You can find a detailed procedure to find GCD of 393, 933, 735, 942 on our page.

3. How to find GCD of 393, 933, 735, 942 on a calculator?

You can find the GCD of 393, 933, 735, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.