GCD of 728, 180, 683, 669 Calculator

Given Input numbers are 728, 180, 683, 669

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

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 683 :

The positive integer divisors of 683 that completely divides 683 are.

1, 683

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

GCD of numbers is the greatest common divisor

So, the GCD (728, 180, 683, 669) = 1.

Given numbers are 728, 180, 683, 669

The list of prime factors of all numbers are

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 683 are 683

Prime factors of 669 are 3 x 223

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

Given numbers are 728, 180, 683, 669

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

Apply this formula for all numbers.

Step1:

LCM(728, 180) = 32760

GCD(728, 180) = ( 728 x 180 ) / 32760

= 728 / 180

= 728

Step2:

LCM(4, 683) = 2732

GCD(4, 683) = ( 4 x 683 ) / 2732

= 4 / 683

= 4

Step3:

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

= 1 / 669

= 1

So, Greatest Common Divisor of 728, 180, 683, 669 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 881, 529, 174
• GCD of 563, 191, 919, 254
• GCD of 226, 643, 489, 781
• GCD of 407, 824, 855, 943
• GCD of 205, 964, 389, 971

Given numbers are 728, 180, 683, 669
The greatest common divisor of numbers 728, 180, 683, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 180, 683, 669 is 1.

1. What is the GCD of 728, 180, 683, 669?

GCD of given numbers 728, 180, 683, 669 is 1

2. How to calculate the greatest common divisor of 728, 180, 683, 669?

We can find the highest common divisor of 728, 180, 683, 669 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 728, 180, 683, 669 i.e 1.

3. How can I use the GCD of 728, 180, 683, 669Calculator?

Out the numbers 728, 180, 683, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.