GCD of 384, 726, 135, 792 Calculator

Given Input numbers are 384, 726, 135, 792

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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

GCD of numbers is the greatest common divisor

So, the GCD (384, 726, 135, 792) = 3.

Given numbers are 384, 726, 135, 792

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 726 are 2 x 3 x 11 x 11

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 384, 726, 135, 792 is 3.

Given numbers are 384, 726, 135, 792

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

Apply this formula for all numbers.

Step1:

LCM(384, 726) = 46464

GCD(384, 726) = ( 384 x 726 ) / 46464

= 384 / 726

= 384

Step2:

LCM(6, 135) = 270

GCD(6, 135) = ( 6 x 135 ) / 270

= 6 / 135

= 6

Step3:

LCM(3, 792) = 792

GCD(3, 792) = ( 3 x 792 ) / 792

= 3 / 792

= 3

So, Greatest Common Divisor of 384, 726, 135, 792 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 573, 885, 424
• GCD of 314, 738, 541, 641
• GCD of 589, 107, 890, 692
• GCD of 892, 553, 909, 587
• GCD of 727, 764, 121, 674

Given numbers are 384, 726, 135, 792
The greatest common divisor of numbers 384, 726, 135, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 726, 135, 792 is 3.

1. What is the GCD of 384, 726, 135, 792?

GCD of given numbers 384, 726, 135, 792 is 3

2. How to calculate the greatest common divisor of 384, 726, 135, 792?

We can find the highest common divisor of 384, 726, 135, 792 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, 726, 135, 792 i.e 3.

3. How can I use the GCD of 384, 726, 135, 792Calculator?

Out the numbers 384, 726, 135, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.