GCD of 726, 990, 466, 328 Calculator

Given Input numbers are 726, 990, 466, 328

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 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

GCD of numbers is the greatest common divisor

So, the GCD (726, 990, 466, 328) = 2.

Given numbers are 726, 990, 466, 328

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 466 are 2 x 233

Prime factors of 328 are 2 x 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 726, 990, 466, 328 is 2.

Given numbers are 726, 990, 466, 328

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, 466) = 15378

GCD(66, 466) = ( 66 x 466 ) / 15378

= 66 / 466

= 66

Step3:

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

= 2 / 328

= 2

So, Greatest Common Divisor of 726, 990, 466, 328 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 505, 911, 299
• GCD of 975, 178, 563, 890
• GCD of 715, 803, 818, 351
• GCD of 254, 370, 941, 570
• GCD of 929, 251, 454, 574

Given numbers are 726, 990, 466, 328
The greatest common divisor of numbers 726, 990, 466, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 990, 466, 328 is 2.

1. What is the GCD of 726, 990, 466, 328?

GCD of given numbers 726, 990, 466, 328 is 2

2. How to calculate the greatest common divisor of 726, 990, 466, 328?

We can find the highest common divisor of 726, 990, 466, 328 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, 466, 328 i.e 2.

3. How can I use the GCD of 726, 990, 466, 328Calculator?

Out the numbers 726, 990, 466, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.