GCD of 384, 864, 728, 978 Calculator

Given Input numbers are 384, 864, 728, 978

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

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

GCD of numbers is the greatest common divisor

So, the GCD (384, 864, 728, 978) = 2.

Given numbers are 384, 864, 728, 978

The list of prime factors of all numbers are

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

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 2¹

Therefore, GCD of 384, 864, 728, 978 is 2.

Given numbers are 384, 864, 728, 978

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

Apply this formula for all numbers.

Step1:

LCM(384, 864) = 3456

GCD(384, 864) = ( 384 x 864 ) / 3456

= 384 / 864

= 384

Step2:

LCM(96, 728) = 8736

GCD(96, 728) = ( 96 x 728 ) / 8736

= 96 / 728

= 96

Step3:

LCM(8, 978) = 3912

GCD(8, 978) = ( 8 x 978 ) / 3912

= 8 / 978

= 8

So, Greatest Common Divisor of 384, 864, 728, 978 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 133, 133, 490
• GCD of 474, 187, 895, 628
• GCD of 217, 483, 127, 281
• GCD of 678, 347, 996, 996
• GCD of 677, 853, 315, 820

Given numbers are 384, 864, 728, 978
The greatest common divisor of numbers 384, 864, 728, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 864, 728, 978 is 2.

1. What is the GCD of 384, 864, 728, 978?

GCD of given numbers 384, 864, 728, 978 is 2

2. How to calculate the greatest common divisor of 384, 864, 728, 978?

We can find the highest common divisor of 384, 864, 728, 978 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 384, 864, 728, 978 i.e 2.

3. How can I use the GCD of 384, 864, 728, 978Calculator?

Out the numbers 384, 864, 728, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.