GCD of 728, 138, 738, 931 Calculator

Given Input numbers are 728, 138, 738, 931

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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 931 :

The positive integer divisors of 931 that completely divides 931 are.

1, 7, 19, 49, 133, 931

GCD of numbers is the greatest common divisor

So, the GCD (728, 138, 738, 931) = 1.

Given numbers are 728, 138, 738, 931

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 138 are 2 x 3 x 23

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

Prime factors of 931 are 7 x 7 x 19

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

Given numbers are 728, 138, 738, 931

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

Apply this formula for all numbers.

Step1:

LCM(728, 138) = 50232

GCD(728, 138) = ( 728 x 138 ) / 50232

= 728 / 138

= 728

Step2:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

Step3:

LCM(2, 931) = 1862

GCD(2, 931) = ( 2 x 931 ) / 1862

= 2 / 931

= 2

So, Greatest Common Divisor of 728, 138, 738, 931 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 596, 225, 165
• GCD of 545, 642, 632, 290
• GCD of 272, 624, 392, 730
• GCD of 289, 802, 980, 120
• GCD of 760, 465, 571, 697

Given numbers are 728, 138, 738, 931
The greatest common divisor of numbers 728, 138, 738, 931 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 138, 738, 931 is 1.

1. What is the GCD of 728, 138, 738, 931?

GCD of given numbers 728, 138, 738, 931 is 1

2. How to calculate the greatest common divisor of 728, 138, 738, 931?

We can find the highest common divisor of 728, 138, 738, 931 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, 138, 738, 931 i.e 1.

3. How can I use the GCD of 728, 138, 738, 931Calculator?

Out the numbers 728, 138, 738, 931 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.