GCD of 804, 576, 714, 960 Calculator

Given Input numbers are 804, 576, 714, 960

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (804, 576, 714, 960) = 6.

Given numbers are 804, 576, 714, 960

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 804, 576, 714, 960 is 6.

Given numbers are 804, 576, 714, 960

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

Apply this formula for all numbers.

Step1:

LCM(804, 576) = 38592

GCD(804, 576) = ( 804 x 576 ) / 38592

= 804 / 576

= 804

Step2:

LCM(12, 714) = 1428

GCD(12, 714) = ( 12 x 714 ) / 1428

= 12 / 714

= 12

Step3:

LCM(6, 960) = 960

GCD(6, 960) = ( 6 x 960 ) / 960

= 6 / 960

= 6

So, Greatest Common Divisor of 804, 576, 714, 960 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 996, 573, 700
• GCD of 881, 360, 386, 767
• GCD of 287, 660, 592, 222
• GCD of 932, 869, 534, 454
• GCD of 808, 517, 277, 254

Given numbers are 804, 576, 714, 960
The greatest common divisor of numbers 804, 576, 714, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 576, 714, 960 is 6.

1. What is the GCD of 804, 576, 714, 960?

GCD of given numbers 804, 576, 714, 960 is 6

2. How to calculate the greatest common divisor of 804, 576, 714, 960?

We can find the highest common divisor of 804, 576, 714, 960 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 804, 576, 714, 960 i.e 6.

3. How can I use the GCD of 804, 576, 714, 960Calculator?

Out the numbers 804, 576, 714, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.