GCD of 728, 281, 130, 360 Calculator

Given Input numbers are 728, 281, 130, 360

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 281 :

The positive integer divisors of 281 that completely divides 281 are.

1, 281

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (728, 281, 130, 360) = 1.

Given numbers are 728, 281, 130, 360

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 281 are 281

Prime factors of 130 are 2 x 5 x 13

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 728, 281, 130, 360

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

Apply this formula for all numbers.

Step1:

LCM(728, 281) = 204568

GCD(728, 281) = ( 728 x 281 ) / 204568

= 728 / 281

= 728

Step2:

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

= 1 / 130

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 728, 281, 130, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 893, 603, 980
• GCD of 808, 239, 395, 177
• GCD of 262, 649, 376, 719
• GCD of 259, 107, 781, 867
• GCD of 372, 570, 859, 653

Given numbers are 728, 281, 130, 360
The greatest common divisor of numbers 728, 281, 130, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 281, 130, 360 is 1.

1. What is the GCD of 728, 281, 130, 360?

GCD of given numbers 728, 281, 130, 360 is 1

2. How to calculate the greatest common divisor of 728, 281, 130, 360?

We can find the highest common divisor of 728, 281, 130, 360 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, 281, 130, 360 i.e 1.

3. How can I use the GCD of 728, 281, 130, 360Calculator?

Out the numbers 728, 281, 130, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.