GCD of 432, 909, 414, 741 Calculator

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.

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.

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

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 412, 311, 238
• GCD of 664, 616, 227, 604
• GCD of 374, 851, 615, 383
• GCD of 568, 325, 584, 663
• GCD of 664, 477, 798, 692

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.

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.