GCD of 648, 720, 936, 384 Calculator

Given Input numbers are 648, 720, 936, 384

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 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (648, 720, 936, 384) = 24.

Given numbers are 648, 720, 936, 384

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 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2³ x 3¹

Therefore, GCD of 648, 720, 936, 384 is 24.

Given numbers are 648, 720, 936, 384

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

Apply this formula for all numbers.

Step1:

LCM(648, 720) = 6480

GCD(648, 720) = ( 648 x 720 ) / 6480

= 648 / 720

= 648

Step2:

LCM(72, 936) = 936

GCD(72, 936) = ( 72 x 936 ) / 936

= 72 / 936

= 72

Step3:

LCM(72, 384) = 1152

GCD(72, 384) = ( 72 x 384 ) / 1152

= 72 / 384

= 72

So, Greatest Common Divisor of 648, 720, 936, 384 is 24

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 884, 520, 780
• GCD of 645, 980, 450, 758
• GCD of 528, 379, 687, 627
• GCD of 608, 748, 709, 168
• GCD of 261, 354, 279, 275

Given numbers are 648, 720, 936, 384
The greatest common divisor of numbers 648, 720, 936, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 720, 936, 384 is 24.

1. What is the GCD of 648, 720, 936, 384?

GCD of given numbers 648, 720, 936, 384 is 24

2. How to calculate the greatest common divisor of 648, 720, 936, 384?

We can find the highest common divisor of 648, 720, 936, 384 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, 720, 936, 384 i.e 24.

3. How can I use the GCD of 648, 720, 936, 384Calculator?

Out the numbers 648, 720, 936, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.