GCD of 804, 990, 144, 726 Calculator

Given Input numbers are 804, 990, 144, 726

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 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

GCD of numbers is the greatest common divisor

So, the GCD (804, 990, 144, 726) = 6.

Given numbers are 804, 990, 144, 726

The list of prime factors of all numbers are

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

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 804, 990, 144, 726 is 6.

Given numbers are 804, 990, 144, 726

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

Apply this formula for all numbers.

Step1:

LCM(804, 990) = 132660

GCD(804, 990) = ( 804 x 990 ) / 132660

= 804 / 990

= 804

Step2:

LCM(6, 144) = 144

GCD(6, 144) = ( 6 x 144 ) / 144

= 6 / 144

= 6

Step3:

LCM(6, 726) = 726

GCD(6, 726) = ( 6 x 726 ) / 726

= 6 / 726

= 6

So, Greatest Common Divisor of 804, 990, 144, 726 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 564, 285, 431
• GCD of 285, 561, 496, 787
• GCD of 182, 547, 161, 616
• GCD of 886, 137, 750, 350
• GCD of 144, 125, 118, 876

Given numbers are 804, 990, 144, 726
The greatest common divisor of numbers 804, 990, 144, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 990, 144, 726 is 6.

1. What is the GCD of 804, 990, 144, 726?

GCD of given numbers 804, 990, 144, 726 is 6

2. How to calculate the greatest common divisor of 804, 990, 144, 726?

We can find the highest common divisor of 804, 990, 144, 726 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, 990, 144, 726 i.e 6.

3. How can I use the GCD of 804, 990, 144, 726Calculator?

Out the numbers 804, 990, 144, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.