GCD of 323, 784, 729, 140 Calculator

Given Input numbers are 323, 784, 729, 140

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

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 729 :

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

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (323, 784, 729, 140) = 1.

Given numbers are 323, 784, 729, 140

The list of prime factors of all numbers are

Prime factors of 323 are 17 x 19

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

Prime factors of 140 are 2 x 2 x 5 x 7

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

Given numbers are 323, 784, 729, 140

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

Apply this formula for all numbers.

Step1:

LCM(323, 784) = 253232

GCD(323, 784) = ( 323 x 784 ) / 253232

= 323 / 784

= 323

Step2:

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

= 1 / 729

= 1

Step3:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1

So, Greatest Common Divisor of 323, 784, 729, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 445, 705, 129
• GCD of 894, 619, 955, 731
• GCD of 740, 352, 665, 488
• GCD of 859, 182, 310, 345
• GCD of 847, 811, 845, 885

Given numbers are 323, 784, 729, 140
The greatest common divisor of numbers 323, 784, 729, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 323, 784, 729, 140 is 1.

1. What is the GCD of 323, 784, 729, 140?

GCD of given numbers 323, 784, 729, 140 is 1

2. How to calculate the greatest common divisor of 323, 784, 729, 140?

We can find the highest common divisor of 323, 784, 729, 140 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 323, 784, 729, 140 i.e 1.

3. How can I use the GCD of 323, 784, 729, 140Calculator?

Out the numbers 323, 784, 729, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.