GCD of 432, 958, 902 Calculator

Given Input numbers are 432, 958, 902

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

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 432, 958, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 958, 902 is 2.

Therefore, GCD of numbers 432, 958, 902 is 2

Given Input Data is 432, 958, 902

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

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 902 is 2 x 11 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(432, 958) = 206928

GCD(432, 958) = ( 432 x 958 ) / 206928

GCD(432, 958) = 413856 / 206928

GCD(432, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 902

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

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

GCD(2, 902) = 1804 / 902

GCD(2, 902) = 2

GCD of 432, 958, 902 is 2

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1. What is the GCD of 432, 958, 902?

GCD of 432, 958, 902 is 2

2. Where do I get the detailed procedure to find GCD of 432, 958, 902?

You can find a detailed procedure to find GCD of 432, 958, 902 on our page.

3. How to find GCD of 432, 958, 902 on a calculator?

You can find the GCD of 432, 958, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.