GCD of 730, 576, 718, 660 Calculator

Given Input numbers are 730, 576, 718, 660

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

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

GCD of numbers is the greatest common divisor

So, the GCD (730, 576, 718, 660) = 2.

Given numbers are 730, 576, 718, 660

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 718 are 2 x 359

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

The highest common occurrence is 2¹

Therefore, GCD of 730, 576, 718, 660 is 2.

Given numbers are 730, 576, 718, 660

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

Apply this formula for all numbers.

Step1:

LCM(730, 576) = 210240

GCD(730, 576) = ( 730 x 576 ) / 210240

= 730 / 576

= 730

Step2:

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

= 2 / 718

= 2

Step3:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

So, Greatest Common Divisor of 730, 576, 718, 660 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 991, 272, 902
• GCD of 835, 624, 205, 547
• GCD of 890, 933, 793, 583
• GCD of 488, 783, 708, 378
• GCD of 446, 710, 337, 825

Given numbers are 730, 576, 718, 660
The greatest common divisor of numbers 730, 576, 718, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 576, 718, 660 is 2.

1. What is the GCD of 730, 576, 718, 660?

GCD of given numbers 730, 576, 718, 660 is 2

2. How to calculate the greatest common divisor of 730, 576, 718, 660?

We can find the highest common divisor of 730, 576, 718, 660 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, 576, 718, 660 i.e 2.

3. How can I use the GCD of 730, 576, 718, 660Calculator?

Out the numbers 730, 576, 718, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.