GCD of 432, 188, 735, 321 Calculator

Given Input numbers are 432, 188, 735, 321

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 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (432, 188, 735, 321) = 1.

Given numbers are 432, 188, 735, 321

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 188 are 2 x 2 x 47

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 321 are 3 x 107

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

Given numbers are 432, 188, 735, 321

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

Apply this formula for all numbers.

Step1:

LCM(432, 188) = 20304

GCD(432, 188) = ( 432 x 188 ) / 20304

= 432 / 188

= 432

Step2:

LCM(4, 735) = 2940

GCD(4, 735) = ( 4 x 735 ) / 2940

= 4 / 735

= 4

Step3:

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

= 1 / 321

= 1

So, Greatest Common Divisor of 432, 188, 735, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 470, 708, 733
• GCD of 983, 630, 961, 219
• GCD of 447, 206, 600, 160
• GCD of 157, 719, 304, 524
• GCD of 945, 782, 345, 348

Given numbers are 432, 188, 735, 321
The greatest common divisor of numbers 432, 188, 735, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 188, 735, 321 is 1.

1. What is the GCD of 432, 188, 735, 321?

GCD of given numbers 432, 188, 735, 321 is 1

2. How to calculate the greatest common divisor of 432, 188, 735, 321?

We can find the highest common divisor of 432, 188, 735, 321 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, 188, 735, 321 i.e 1.

3. How can I use the GCD of 432, 188, 735, 321Calculator?

Out the numbers 432, 188, 735, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.