GCD of 432, 214, 704, 239 Calculator

Given Input numbers are 432, 214, 704, 239

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 239 :

The positive integer divisors of 239 that completely divides 239 are.

1, 239

GCD of numbers is the greatest common divisor

So, the GCD (432, 214, 704, 239) = 1.

Given numbers are 432, 214, 704, 239

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 214 are 2 x 107

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 239 are 239

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

Given numbers are 432, 214, 704, 239

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

Apply this formula for all numbers.

Step1:

LCM(432, 214) = 46224

GCD(432, 214) = ( 432 x 214 ) / 46224

= 432 / 214

= 432

Step2:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

Step3:

LCM(2, 239) = 478

GCD(2, 239) = ( 2 x 239 ) / 478

= 2 / 239

= 2

So, Greatest Common Divisor of 432, 214, 704, 239 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 597, 831, 483
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• GCD of 565, 649, 628, 609

Given numbers are 432, 214, 704, 239
The greatest common divisor of numbers 432, 214, 704, 239 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 214, 704, 239 is 1.

1. What is the GCD of 432, 214, 704, 239?

GCD of given numbers 432, 214, 704, 239 is 1

2. How to calculate the greatest common divisor of 432, 214, 704, 239?

We can find the highest common divisor of 432, 214, 704, 239 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, 214, 704, 239 i.e 1.

3. How can I use the GCD of 432, 214, 704, 239Calculator?

Out the numbers 432, 214, 704, 239 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.