GCD of 730, 660, 656, 398 Calculator

Given Input numbers are 730, 660, 656, 398

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (730, 660, 656, 398) = 2.

Given numbers are 730, 660, 656, 398

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 730, 660, 656, 398 is 2.

Given numbers are 730, 660, 656, 398

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

Apply this formula for all numbers.

Step1:

LCM(730, 660) = 48180

GCD(730, 660) = ( 730 x 660 ) / 48180

= 730 / 660

= 730

Step2:

LCM(10, 656) = 3280

GCD(10, 656) = ( 10 x 656 ) / 3280

= 10 / 656

= 10

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 730, 660, 656, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 644, 470, 574
• GCD of 644, 686, 125, 196
• GCD of 330, 419, 873, 865
• GCD of 733, 221, 784, 817
• GCD of 270, 157, 109, 555

Given numbers are 730, 660, 656, 398
The greatest common divisor of numbers 730, 660, 656, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 660, 656, 398 is 2.

1. What is the GCD of 730, 660, 656, 398?

GCD of given numbers 730, 660, 656, 398 is 2

2. How to calculate the greatest common divisor of 730, 660, 656, 398?

We can find the highest common divisor of 730, 660, 656, 398 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 730, 660, 656, 398 i.e 2.

3. How can I use the GCD of 730, 660, 656, 398Calculator?

Out the numbers 730, 660, 656, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.