GCD of 726, 990, 825, 399 Calculator

Given Input numbers are 726, 990, 825, 399

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

GCD of numbers is the greatest common divisor

So, the GCD (726, 990, 825, 399) = 3.

Given numbers are 726, 990, 825, 399

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Prime factors of 399 are 3 x 7 x 19

The highest common occurrence is 3¹

Therefore, GCD of 726, 990, 825, 399 is 3.

Given numbers are 726, 990, 825, 399

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

Apply this formula for all numbers.

Step1:

LCM(726, 990) = 10890

GCD(726, 990) = ( 726 x 990 ) / 10890

= 726 / 990

= 726

Step2:

LCM(66, 825) = 1650

GCD(66, 825) = ( 66 x 825 ) / 1650

= 66 / 825

= 66

Step3:

LCM(33, 399) = 4389

GCD(33, 399) = ( 33 x 399 ) / 4389

= 33 / 399

= 33

So, Greatest Common Divisor of 726, 990, 825, 399 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 955, 900, 493
• GCD of 823, 317, 765, 725
• GCD of 481, 942, 231, 278
• GCD of 824, 421, 682, 936
• GCD of 861, 424, 686, 449

Given numbers are 726, 990, 825, 399
The greatest common divisor of numbers 726, 990, 825, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 990, 825, 399 is 3.

1. What is the GCD of 726, 990, 825, 399?

GCD of given numbers 726, 990, 825, 399 is 3

2. How to calculate the greatest common divisor of 726, 990, 825, 399?

We can find the highest common divisor of 726, 990, 825, 399 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 726, 990, 825, 399 i.e 3.

3. How can I use the GCD of 726, 990, 825, 399Calculator?

Out the numbers 726, 990, 825, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.