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, 909, 414, 741 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, 909, 414, 741 quickly. Get the easiest ways to solve the greatest common divisor of 432, 909, 414, 741 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 909, 414, 741 with Factoring?

Given Input numbers are 432, 909, 414, 741

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 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741


GCD of numbers is the greatest common divisor

So, the GCD (432, 909, 414, 741) = 3.

Find GCD of 432, 909, 414, 741 using Prime Factorization

Given numbers are 432, 909, 414, 741

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 909 are 3 x 3 x 101

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 741 are 3 x 13 x 19

The highest common occurrence is 31

Therefore, GCD of 432, 909, 414, 741 is 3.

Steps to Calculate GCD of 432, 909, 414, 741 using LCM Formula

Given numbers are 432, 909, 414, 741

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

Apply this formula for all numbers.

Step1:

LCM(432, 909) = 43632

GCD(432, 909) = ( 432 x 909 ) / 43632

= 432 / 909

= 432


Step2:

LCM(9, 414) = 414

GCD(9, 414) = ( 9 x 414 ) / 414

= 9 / 414

= 9


Step3:

LCM(9, 741) = 2223

GCD(9, 741) = ( 9 x 741 ) / 2223

= 9 / 741

= 9


So, Greatest Common Divisor of 432, 909, 414, 741 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 909, 414, 741

Given numbers are 432, 909, 414, 741
The greatest common divisor of numbers 432, 909, 414, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 909, 414, 741 is 3.

FAQs on GCD of 432, 909, 414, 741 Calculator

1. What is the GCD of 432, 909, 414, 741?

GCD of given numbers 432, 909, 414, 741 is 3


2. How to calculate the greatest common divisor of 432, 909, 414, 741?

We can find the highest common divisor of 432, 909, 414, 741 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, 909, 414, 741 i.e 3.


3. How can I use the GCD of 432, 909, 414, 741Calculator?

Out the numbers 432, 909, 414, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.