GCD of 402, 132, 477, 933 Calculator

Given Input numbers are 402, 132, 477, 933

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 933

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

1, 3, 311, 933

Greatest Common Divisior

We found the divisors of 402, 132, 477, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 132, 477, 933 is 3.

Therefore, GCD of numbers 402, 132, 477, 933 is 3

Given Input Data is 402, 132, 477, 933

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 933 is 3 x 311

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(402, 132) = 8844

GCD(402, 132) = ( 402 x 132 ) / 8844

GCD(402, 132) = 53064 / 8844

GCD(402, 132) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 477

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

LCM(6, 477) = 954

GCD(6, 477) = ( 6 x 477 ) / 954

GCD(6, 477) = 2862 / 954

GCD(6, 477) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 933

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

LCM(3, 933) = 933

GCD(3, 933) = ( 3 x 933 ) / 933

GCD(3, 933) = 2799 / 933

GCD(3, 933) = 3

GCD of 402, 132, 477, 933 is 3

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1. What is the GCD of 402, 132, 477, 933?

GCD of 402, 132, 477, 933 is 3

2. Where do I get the detailed procedure to find GCD of 402, 132, 477, 933?

You can find a detailed procedure to find GCD of 402, 132, 477, 933 on our page.

3. How to find GCD of 402, 132, 477, 933 on a calculator?

You can find the GCD of 402, 132, 477, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.