GCD of 723, 321, 792, 286 Calculator

Given Input numbers are 723, 321, 792, 286

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

GCD of numbers is the greatest common divisor

So, the GCD (723, 321, 792, 286) = 1.

Given numbers are 723, 321, 792, 286

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 321 are 3 x 107

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 286 are 2 x 11 x 13

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

Given numbers are 723, 321, 792, 286

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

Apply this formula for all numbers.

Step1:

LCM(723, 321) = 77361

GCD(723, 321) = ( 723 x 321 ) / 77361

= 723 / 321

= 723

Step2:

LCM(3, 792) = 792

GCD(3, 792) = ( 3 x 792 ) / 792

= 3 / 792

= 3

Step3:

LCM(3, 286) = 858

GCD(3, 286) = ( 3 x 286 ) / 858

= 3 / 286

= 3

So, Greatest Common Divisor of 723, 321, 792, 286 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 189, 422, 104
• GCD of 337, 625, 494, 831
• GCD of 993, 867, 394, 704
• GCD of 436, 531, 540, 409
• GCD of 931, 397, 272, 814

Given numbers are 723, 321, 792, 286
The greatest common divisor of numbers 723, 321, 792, 286 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 321, 792, 286 is 1.

1. What is the GCD of 723, 321, 792, 286?

GCD of given numbers 723, 321, 792, 286 is 1

2. How to calculate the greatest common divisor of 723, 321, 792, 286?

We can find the highest common divisor of 723, 321, 792, 286 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 723, 321, 792, 286 i.e 1.

3. How can I use the GCD of 723, 321, 792, 286Calculator?

Out the numbers 723, 321, 792, 286 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.