GCD of 993, 728, 105 Calculator

Given Input numbers are 993, 728, 105

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

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

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 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (993, 728, 105) = 1.

Given numbers are 993, 728, 105

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

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

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 993, 728, 105

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

Apply this formula for all numbers.

Step1:

LCM(993, 728) = 722904

GCD(993, 728) = ( 993 x 728 ) / 722904

= 993 / 728

= 993

Step2:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 993, 728, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 479, 337
• GCD of 745, 729, 527
• GCD of 311, 281, 240
• GCD of 109, 700, 485
• GCD of 549, 576, 832

Given numbers are 993, 728, 105
The greatest common divisor of numbers 993, 728, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 728, 105 is 1.

1. What is the GCD of 993, 728, 105?

GCD of given numbers 993, 728, 105 is 1

2. How to calculate the greatest common divisor of 993, 728, 105?

We can find the highest common divisor of 993, 728, 105 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 993, 728, 105 i.e 1.

3. How can I use the GCD of 993, 728, 105Calculator?

Out the numbers 993, 728, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.