GCD of 729, 308, 10, 193 Calculator

Given Input numbers are 729, 308, 10, 193

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 193 :

The positive integer divisors of 193 that completely divides 193 are.

1, 193

GCD of numbers is the greatest common divisor

So, the GCD (729, 308, 10, 193) = 1.

Given numbers are 729, 308, 10, 193

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 308 are 2 x 2 x 7 x 11

Prime factors of 10 are 2 x 5

Prime factors of 193 are 193

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

Given numbers are 729, 308, 10, 193

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

Apply this formula for all numbers.

Step1:

LCM(729, 308) = 224532

GCD(729, 308) = ( 729 x 308 ) / 224532

= 729 / 308

= 729

Step2:

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

= 1 / 10

= 1

Step3:

LCM(1, 193) = 193

GCD(1, 193) = ( 1 x 193 ) / 193

= 1 / 193

= 1

So, Greatest Common Divisor of 729, 308, 10, 193 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 778, 30, 325
• GCD of 439, 661, 16, 466
• GCD of 660, 699, 49, 513
• GCD of 534, 514, 77, 242
• GCD of 521, 620, 22, 607

Given numbers are 729, 308, 10, 193
The greatest common divisor of numbers 729, 308, 10, 193 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 308, 10, 193 is 1.

1. What is the GCD of 729, 308, 10, 193?

GCD of given numbers 729, 308, 10, 193 is 1

2. How to calculate the greatest common divisor of 729, 308, 10, 193?

We can find the highest common divisor of 729, 308, 10, 193 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, 308, 10, 193 i.e 1.

3. How can I use the GCD of 729, 308, 10, 193Calculator?

Out the numbers 729, 308, 10, 193 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.