GCD of 432, 289, 428, 232 Calculator

Given Input numbers are 432, 289, 428, 232

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 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

GCD of numbers is the greatest common divisor

So, the GCD (432, 289, 428, 232) = 1.

Given numbers are 432, 289, 428, 232

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 289 are 17 x 17

Prime factors of 428 are 2 x 2 x 107

Prime factors of 232 are 2 x 2 x 2 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 432, 289, 428, 232

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

Apply this formula for all numbers.

Step1:

LCM(432, 289) = 124848

GCD(432, 289) = ( 432 x 289 ) / 124848

= 432 / 289

= 432

Step2:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

Step3:

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

= 1 / 232

= 1

So, Greatest Common Divisor of 432, 289, 428, 232 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 381, 105, 959
• GCD of 972, 108, 383, 215
• GCD of 177, 716, 827, 860
• GCD of 607, 656, 666, 985
• GCD of 753, 845, 564, 771

Given numbers are 432, 289, 428, 232
The greatest common divisor of numbers 432, 289, 428, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 289, 428, 232 is 1.

1. What is the GCD of 432, 289, 428, 232?

GCD of given numbers 432, 289, 428, 232 is 1

2. How to calculate the greatest common divisor of 432, 289, 428, 232?

We can find the highest common divisor of 432, 289, 428, 232 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, 289, 428, 232 i.e 1.

3. How can I use the GCD of 432, 289, 428, 232Calculator?

Out the numbers 432, 289, 428, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.