LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 432, 104, 900, 646 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 432, 104, 900, 646 quickly. Get the easiest ways to solve the greatest common divisor of 432, 104, 900, 646 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 104, 900, 646 with Factoring?

Given Input numbers are 432, 104, 900, 646

In the factoring method, we have to find the divisors of all numbers

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646


GCD of numbers is the greatest common divisor

So, the GCD (432, 104, 900, 646) = 2.

Find GCD of 432, 104, 900, 646 using Prime Factorization

Given numbers are 432, 104, 900, 646

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 646 are 2 x 17 x 19

The highest common occurrence is 21

Therefore, GCD of 432, 104, 900, 646 is 2.

Steps to Calculate GCD of 432, 104, 900, 646 using LCM Formula

Given numbers are 432, 104, 900, 646

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(432, 104) = 5616

GCD(432, 104) = ( 432 x 104 ) / 5616

= 432 / 104

= 432


Step2:

LCM(8, 900) = 1800

GCD(8, 900) = ( 8 x 900 ) / 1800

= 8 / 900

= 8


Step3:

LCM(4, 646) = 1292

GCD(4, 646) = ( 4 x 646 ) / 1292

= 4 / 646

= 4


So, Greatest Common Divisor of 432, 104, 900, 646 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 104, 900, 646

Given numbers are 432, 104, 900, 646
The greatest common divisor of numbers 432, 104, 900, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 104, 900, 646 is 2.

FAQs on GCD of 432, 104, 900, 646 Calculator

1. What is the GCD of 432, 104, 900, 646?

GCD of given numbers 432, 104, 900, 646 is 2


2. How to calculate the greatest common divisor of 432, 104, 900, 646?

We can find the highest common divisor of 432, 104, 900, 646 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 432, 104, 900, 646 i.e 2.


3. How can I use the GCD of 432, 104, 900, 646Calculator?

Out the numbers 432, 104, 900, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.