GCD of 933, 147, 954, 729 Calculator

Given Input numbers are 933, 147, 954, 729

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

Divisors of 933

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

1, 3, 311, 933

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 933, 147, 954, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 933, 147, 954, 729 is 3.

Therefore, GCD of numbers 933, 147, 954, 729 is 3

Given Input Data is 933, 147, 954, 729

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

Prime Factorization of 933 is 3 x 311

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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(933, 147) = 45717

GCD(933, 147) = ( 933 x 147 ) / 45717

GCD(933, 147) = 137151 / 45717

GCD(933, 147) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 954

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

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

GCD(3, 954) = 2862 / 954

GCD(3, 954) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 729

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

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

GCD(3, 729) = 2187 / 729

GCD(3, 729) = 3

GCD of 933, 147, 954, 729 is 3

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1. What is the GCD of 933, 147, 954, 729?

GCD of 933, 147, 954, 729 is 3

2. Where do I get the detailed procedure to find GCD of 933, 147, 954, 729?

You can find a detailed procedure to find GCD of 933, 147, 954, 729 on our page.

3. How to find GCD of 933, 147, 954, 729 on a calculator?

You can find the GCD of 933, 147, 954, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.