GCD of 729, 338, 930, 123 Calculator

Given Input numbers are 729, 338, 930, 123

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

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (729, 338, 930, 123) = 1.

Given numbers are 729, 338, 930, 123

The list of prime factors of all numbers are

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 338 are 2 x 13 x 13

Prime factors of 930 are 2 x 3 x 5 x 31

Prime factors of 123 are 3 x 41

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

Given numbers are 729, 338, 930, 123

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

Apply this formula for all numbers.

Step1:

LCM(729, 338) = 246402

GCD(729, 338) = ( 729 x 338 ) / 246402

= 729 / 338

= 729

Step2:

LCM(1, 930) = 930

GCD(1, 930) = ( 1 x 930 ) / 930

= 1 / 930

= 1

Step3:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1

So, Greatest Common Divisor of 729, 338, 930, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 857, 322, 294
• GCD of 126, 435, 269, 698
• GCD of 547, 550, 171, 491
• GCD of 444, 223, 733, 658
• GCD of 919, 926, 342, 714

Given numbers are 729, 338, 930, 123
The greatest common divisor of numbers 729, 338, 930, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 338, 930, 123 is 1.

1. What is the GCD of 729, 338, 930, 123?

GCD of given numbers 729, 338, 930, 123 is 1

2. How to calculate the greatest common divisor of 729, 338, 930, 123?

We can find the highest common divisor of 729, 338, 930, 123 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 729, 338, 930, 123 i.e 1.

3. How can I use the GCD of 729, 338, 930, 123Calculator?

Out the numbers 729, 338, 930, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.