GCD of 660, 930, 728, 731 Calculator

Given Input numbers are 660, 930, 728, 731

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

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 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

GCD of numbers is the greatest common divisor

So, the GCD (660, 930, 728, 731) = 1.

Given numbers are 660, 930, 728, 731

The list of prime factors of all numbers are

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

Prime factors of 930 are 2 x 3 x 5 x 31

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 731 are 17 x 43

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 660, 930, 728, 731

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

Apply this formula for all numbers.

Step1:

LCM(660, 930) = 20460

GCD(660, 930) = ( 660 x 930 ) / 20460

= 660 / 930

= 660

Step2:

LCM(30, 728) = 10920

GCD(30, 728) = ( 30 x 728 ) / 10920

= 30 / 728

= 30

Step3:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2

So, Greatest Common Divisor of 660, 930, 728, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 393, 312, 502
• GCD of 913, 215, 493, 770
• GCD of 730, 499, 154, 521
• GCD of 320, 576, 580, 775
• GCD of 704, 174, 265, 627

Given numbers are 660, 930, 728, 731
The greatest common divisor of numbers 660, 930, 728, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 930, 728, 731 is 1.

1. What is the GCD of 660, 930, 728, 731?

GCD of given numbers 660, 930, 728, 731 is 1

2. How to calculate the greatest common divisor of 660, 930, 728, 731?

We can find the highest common divisor of 660, 930, 728, 731 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 660, 930, 728, 731 i.e 1.

3. How can I use the GCD of 660, 930, 728, 731Calculator?

Out the numbers 660, 930, 728, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.