GCD of 728, 224, 738, 231 Calculator

Given Input numbers are 728, 224, 738, 231

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 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (728, 224, 738, 231) = 1.

Given numbers are 728, 224, 738, 231

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 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 728, 224, 738, 231

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

Apply this formula for all numbers.

Step1:

LCM(728, 224) = 2912

GCD(728, 224) = ( 728 x 224 ) / 2912

= 728 / 224

= 728

Step2:

LCM(56, 738) = 20664

GCD(56, 738) = ( 56 x 738 ) / 20664

= 56 / 738

= 56

Step3:

LCM(2, 231) = 462

GCD(2, 231) = ( 2 x 231 ) / 462

= 2 / 231

= 2

So, Greatest Common Divisor of 728, 224, 738, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 989, 247, 405
• GCD of 441, 865, 855, 667
• GCD of 736, 893, 767, 584
• GCD of 173, 724, 632, 710
• GCD of 169, 163, 260, 724

Given numbers are 728, 224, 738, 231
The greatest common divisor of numbers 728, 224, 738, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 224, 738, 231 is 1.

1. What is the GCD of 728, 224, 738, 231?

GCD of given numbers 728, 224, 738, 231 is 1

2. How to calculate the greatest common divisor of 728, 224, 738, 231?

We can find the highest common divisor of 728, 224, 738, 231 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, 224, 738, 231 i.e 1.

3. How can I use the GCD of 728, 224, 738, 231Calculator?

Out the numbers 728, 224, 738, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.