GCD of 723, 189, 303, 108 Calculator

Given Input numbers are 723, 189, 303, 108

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 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (723, 189, 303, 108) = 3.

Given numbers are 723, 189, 303, 108

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 303 are 3 x 101

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 723, 189, 303, 108 is 3.

Given numbers are 723, 189, 303, 108

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

Apply this formula for all numbers.

Step1:

LCM(723, 189) = 45549

GCD(723, 189) = ( 723 x 189 ) / 45549

= 723 / 189

= 723

Step2:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3

Step3:

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

= 3 / 108

= 3

So, Greatest Common Divisor of 723, 189, 303, 108 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 948, 783, 784
• GCD of 846, 471, 646, 845
• GCD of 601, 370, 215, 519
• GCD of 666, 497, 898, 753
• GCD of 878, 101, 248, 392

Given numbers are 723, 189, 303, 108
The greatest common divisor of numbers 723, 189, 303, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 189, 303, 108 is 3.

1. What is the GCD of 723, 189, 303, 108?

GCD of given numbers 723, 189, 303, 108 is 3

2. How to calculate the greatest common divisor of 723, 189, 303, 108?

We can find the highest common divisor of 723, 189, 303, 108 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, 189, 303, 108 i.e 3.

3. How can I use the GCD of 723, 189, 303, 108Calculator?

Out the numbers 723, 189, 303, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.