GCD of 728, 891, 198, 463 Calculator

Given Input numbers are 728, 891, 198, 463

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 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

GCD of numbers is the greatest common divisor

So, the GCD (728, 891, 198, 463) = 1.

Given numbers are 728, 891, 198, 463

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 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 463 are 463

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

Given numbers are 728, 891, 198, 463

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

Apply this formula for all numbers.

Step1:

LCM(728, 891) = 648648

GCD(728, 891) = ( 728 x 891 ) / 648648

= 728 / 891

= 728

Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

Step3:

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

= 1 / 463

= 1

So, Greatest Common Divisor of 728, 891, 198, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 659, 454, 112
• GCD of 220, 661, 825, 936
• GCD of 999, 391, 296, 931
• GCD of 579, 671, 431, 444
• GCD of 871, 882, 236, 368

Given numbers are 728, 891, 198, 463
The greatest common divisor of numbers 728, 891, 198, 463 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 891, 198, 463 is 1.

1. What is the GCD of 728, 891, 198, 463?

GCD of given numbers 728, 891, 198, 463 is 1

2. How to calculate the greatest common divisor of 728, 891, 198, 463?

We can find the highest common divisor of 728, 891, 198, 463 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, 891, 198, 463 i.e 1.

3. How can I use the GCD of 728, 891, 198, 463Calculator?

Out the numbers 728, 891, 198, 463 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.