GCD of 180, 648, 800, 288 Calculator

Given Input numbers are 180, 648, 800, 288

In the factoring method, we have to find the divisors of all numbers

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (180, 648, 800, 288) = 4.

Given numbers are 180, 648, 800, 288

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 180, 648, 800, 288 is 4.

Given numbers are 180, 648, 800, 288

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

Apply this formula for all numbers.

Step1:

LCM(180, 648) = 3240

GCD(180, 648) = ( 180 x 648 ) / 3240

= 180 / 648

= 180

Step2:

LCM(36, 800) = 7200

GCD(36, 800) = ( 36 x 800 ) / 7200

= 36 / 800

= 36

Step3:

LCM(4, 288) = 288

GCD(4, 288) = ( 4 x 288 ) / 288

= 4 / 288

= 4

So, Greatest Common Divisor of 180, 648, 800, 288 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 449, 257, 522
• GCD of 962, 525, 424, 311
• GCD of 935, 315, 117, 761
• GCD of 514, 197, 544, 265
• GCD of 713, 892, 239, 837

Given numbers are 180, 648, 800, 288
The greatest common divisor of numbers 180, 648, 800, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 648, 800, 288 is 4.

1. What is the GCD of 180, 648, 800, 288?

GCD of given numbers 180, 648, 800, 288 is 4

2. How to calculate the greatest common divisor of 180, 648, 800, 288?

We can find the highest common divisor of 180, 648, 800, 288 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 180, 648, 800, 288 i.e 4.

3. How can I use the GCD of 180, 648, 800, 288Calculator?

Out the numbers 180, 648, 800, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.