GCD of 723, 825, 484, 423 Calculator

Given Input numbers are 723, 825, 484, 423

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (723, 825, 484, 423) = 1.

Given numbers are 723, 825, 484, 423

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 423 are 3 x 3 x 47

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

Given numbers are 723, 825, 484, 423

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

Apply this formula for all numbers.

Step1:

LCM(723, 825) = 198825

GCD(723, 825) = ( 723 x 825 ) / 198825

= 723 / 825

= 723

Step2:

LCM(3, 484) = 1452

GCD(3, 484) = ( 3 x 484 ) / 1452

= 3 / 484

= 3

Step3:

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

= 1 / 423

= 1

So, Greatest Common Divisor of 723, 825, 484, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 101, 585, 330
• GCD of 861, 772, 141, 550
• GCD of 158, 230, 382, 741
• GCD of 243, 742, 447, 324
• GCD of 341, 776, 310, 367

Given numbers are 723, 825, 484, 423
The greatest common divisor of numbers 723, 825, 484, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 825, 484, 423 is 1.

1. What is the GCD of 723, 825, 484, 423?

GCD of given numbers 723, 825, 484, 423 is 1

2. How to calculate the greatest common divisor of 723, 825, 484, 423?

We can find the highest common divisor of 723, 825, 484, 423 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, 825, 484, 423 i.e 1.

3. How can I use the GCD of 723, 825, 484, 423Calculator?

Out the numbers 723, 825, 484, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.