GCD of 728, 540, 804, 656 Calculator

Given Input numbers are 728, 540, 804, 656

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

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 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

GCD of numbers is the greatest common divisor

So, the GCD (728, 540, 804, 656) = 4.

Given numbers are 728, 540, 804, 656

The list of prime factors of all numbers are

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

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

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

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

The highest common occurrence is 2²

Therefore, GCD of 728, 540, 804, 656 is 4.

Given numbers are 728, 540, 804, 656

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

Apply this formula for all numbers.

Step1:

LCM(728, 540) = 98280

GCD(728, 540) = ( 728 x 540 ) / 98280

= 728 / 540

= 728

Step2:

LCM(4, 804) = 804

GCD(4, 804) = ( 4 x 804 ) / 804

= 4 / 804

= 4

Step3:

LCM(4, 656) = 656

GCD(4, 656) = ( 4 x 656 ) / 656

= 4 / 656

= 4

So, Greatest Common Divisor of 728, 540, 804, 656 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 796, 116, 882
• GCD of 564, 338, 755, 984
• GCD of 203, 229, 626, 403
• GCD of 851, 872, 970, 201
• GCD of 348, 238, 605, 972

Given numbers are 728, 540, 804, 656
The greatest common divisor of numbers 728, 540, 804, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 540, 804, 656 is 4.

1. What is the GCD of 728, 540, 804, 656?

GCD of given numbers 728, 540, 804, 656 is 4

2. How to calculate the greatest common divisor of 728, 540, 804, 656?

We can find the highest common divisor of 728, 540, 804, 656 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 728, 540, 804, 656 i.e 4.

3. How can I use the GCD of 728, 540, 804, 656Calculator?

Out the numbers 728, 540, 804, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.