GCD of 648, 420, 441, 288 Calculator

Given Input numbers are 648, 420, 441, 288

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

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

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 (648, 420, 441, 288) = 3.

Given numbers are 648, 420, 441, 288

The list of prime factors of all numbers are

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 441 are 3 x 3 x 7 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 648, 420, 441, 288 is 3.

Given numbers are 648, 420, 441, 288

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

Apply this formula for all numbers.

Step1:

LCM(648, 420) = 22680

GCD(648, 420) = ( 648 x 420 ) / 22680

= 648 / 420

= 648

Step2:

LCM(12, 441) = 1764

GCD(12, 441) = ( 12 x 441 ) / 1764

= 12 / 441

= 12

Step3:

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

= 3 / 288

= 3

So, Greatest Common Divisor of 648, 420, 441, 288 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 658, 164, 624
• GCD of 869, 749, 410, 484
• GCD of 272, 244, 170, 232
• GCD of 372, 243, 928, 800
• GCD of 540, 329, 530, 623

Given numbers are 648, 420, 441, 288
The greatest common divisor of numbers 648, 420, 441, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 420, 441, 288 is 3.

1. What is the GCD of 648, 420, 441, 288?

GCD of given numbers 648, 420, 441, 288 is 3

2. How to calculate the greatest common divisor of 648, 420, 441, 288?

We can find the highest common divisor of 648, 420, 441, 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 648, 420, 441, 288 i.e 3.

3. How can I use the GCD of 648, 420, 441, 288Calculator?

Out the numbers 648, 420, 441, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.