GCD of 930, 156, 432 Calculator

Given Input numbers are 930, 156, 432

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

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 930, 156, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 156, 432 is 6.

Therefore, GCD of numbers 930, 156, 432 is 6

Given Input Data is 930, 156, 432

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

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(930, 156) = 24180

GCD(930, 156) = ( 930 x 156 ) / 24180

GCD(930, 156) = 145080 / 24180

GCD(930, 156) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 432

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

LCM(6, 432) = 432

GCD(6, 432) = ( 6 x 432 ) / 432

GCD(6, 432) = 2592 / 432

GCD(6, 432) = 6

GCD of 930, 156, 432 is 6

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1. What is the GCD of 930, 156, 432?

GCD of 930, 156, 432 is 6

2. Where do I get the detailed procedure to find GCD of 930, 156, 432?

You can find a detailed procedure to find GCD of 930, 156, 432 on our page.

3. How to find GCD of 930, 156, 432 on a calculator?

You can find the GCD of 930, 156, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.