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GCD of 432, 868, 668, 728 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, 868, 668, 728 quickly. Get the easiest ways to solve the greatest common divisor of 432, 868, 668, 728 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 868, 668, 728 with Factoring?

Given Input numbers are 432, 868, 668, 728

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 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728


GCD of numbers is the greatest common divisor

So, the GCD (432, 868, 668, 728) = 4.

Find GCD of 432, 868, 668, 728 using Prime Factorization

Given numbers are 432, 868, 668, 728

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 868 are 2 x 2 x 7 x 31

Prime factors of 668 are 2 x 2 x 167

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 22

Therefore, GCD of 432, 868, 668, 728 is 4.

Steps to Calculate GCD of 432, 868, 668, 728 using LCM Formula

Given numbers are 432, 868, 668, 728

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

Apply this formula for all numbers.

Step1:

LCM(432, 868) = 93744

GCD(432, 868) = ( 432 x 868 ) / 93744

= 432 / 868

= 432


Step2:

LCM(4, 668) = 668

GCD(4, 668) = ( 4 x 668 ) / 668

= 4 / 668

= 4


Step3:

LCM(4, 728) = 728

GCD(4, 728) = ( 4 x 728 ) / 728

= 4 / 728

= 4


So, Greatest Common Divisor of 432, 868, 668, 728 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 868, 668, 728

Given numbers are 432, 868, 668, 728
The greatest common divisor of numbers 432, 868, 668, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 868, 668, 728 is 4.

FAQs on GCD of 432, 868, 668, 728 Calculator

1. What is the GCD of 432, 868, 668, 728?

GCD of given numbers 432, 868, 668, 728 is 4


2. How to calculate the greatest common divisor of 432, 868, 668, 728?

We can find the highest common divisor of 432, 868, 668, 728 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, 868, 668, 728 i.e 4.


3. How can I use the GCD of 432, 868, 668, 728Calculator?

Out the numbers 432, 868, 668, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.