GCD of 432, 144, 656, 800 Calculator

Given Input numbers are 432, 144, 656, 800

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (432, 144, 656, 800) = 16.

Given numbers are 432, 144, 656, 800

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 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2⁴

Therefore, GCD of 432, 144, 656, 800 is 16.

Given numbers are 432, 144, 656, 800

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

Apply this formula for all numbers.

Step1:

LCM(432, 144) = 432

GCD(432, 144) = ( 432 x 144 ) / 432

= 432 / 144

= 432

Step2:

LCM(144, 656) = 5904

GCD(144, 656) = ( 144 x 656 ) / 5904

= 144 / 656

= 144

Step3:

LCM(16, 800) = 800

GCD(16, 800) = ( 16 x 800 ) / 800

= 16 / 800

= 16

So, Greatest Common Divisor of 432, 144, 656, 800 is 16

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 732, 481, 994
• GCD of 969, 509, 672, 144
• GCD of 952, 522, 240, 870
• GCD of 398, 711, 653, 748
• GCD of 844, 114, 404, 791

Given numbers are 432, 144, 656, 800
The greatest common divisor of numbers 432, 144, 656, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 144, 656, 800 is 16.

1. What is the GCD of 432, 144, 656, 800?

GCD of given numbers 432, 144, 656, 800 is 16

2. How to calculate the greatest common divisor of 432, 144, 656, 800?

We can find the highest common divisor of 432, 144, 656, 800 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, 144, 656, 800 i.e 16.

3. How can I use the GCD of 432, 144, 656, 800Calculator?

Out the numbers 432, 144, 656, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.