GCD of 728, 442, 144, 261 Calculator

Given Input numbers are 728, 442, 144, 261

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 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

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 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (728, 442, 144, 261) = 1.

Given numbers are 728, 442, 144, 261

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 442 are 2 x 13 x 17

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

Prime factors of 261 are 3 x 3 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 728, 442, 144, 261

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

Apply this formula for all numbers.

Step1:

LCM(728, 442) = 12376

GCD(728, 442) = ( 728 x 442 ) / 12376

= 728 / 442

= 728

Step2:

LCM(26, 144) = 1872

GCD(26, 144) = ( 26 x 144 ) / 1872

= 26 / 144

= 26

Step3:

LCM(2, 261) = 522

GCD(2, 261) = ( 2 x 261 ) / 522

= 2 / 261

= 2

So, Greatest Common Divisor of 728, 442, 144, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 445, 596, 180
• GCD of 163, 768, 995, 732
• GCD of 884, 274, 537, 261
• GCD of 609, 295, 786, 956
• GCD of 173, 505, 909, 769

Given numbers are 728, 442, 144, 261
The greatest common divisor of numbers 728, 442, 144, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 442, 144, 261 is 1.

1. What is the GCD of 728, 442, 144, 261?

GCD of given numbers 728, 442, 144, 261 is 1

2. How to calculate the greatest common divisor of 728, 442, 144, 261?

We can find the highest common divisor of 728, 442, 144, 261 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, 442, 144, 261 i.e 1.

3. How can I use the GCD of 728, 442, 144, 261Calculator?

Out the numbers 728, 442, 144, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.