GCD of 723, 728, 860, 682 Calculator

Given Input numbers are 723, 728, 860, 682

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

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 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (723, 728, 860, 682) = 1.

Given numbers are 723, 728, 860, 682

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

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

Prime factors of 860 are 2 x 2 x 5 x 43

Prime factors of 682 are 2 x 11 x 31

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

Given numbers are 723, 728, 860, 682

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

Apply this formula for all numbers.

Step1:

LCM(723, 728) = 526344

GCD(723, 728) = ( 723 x 728 ) / 526344

= 723 / 728

= 723

Step2:

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

= 1 / 860

= 1

Step3:

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

= 1 / 682

= 1

So, Greatest Common Divisor of 723, 728, 860, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 835, 262, 357
• GCD of 430, 813, 957, 714
• GCD of 694, 178, 928, 584
• GCD of 831, 303, 274, 218
• GCD of 259, 388, 305, 216

Given numbers are 723, 728, 860, 682
The greatest common divisor of numbers 723, 728, 860, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 728, 860, 682 is 1.

1. What is the GCD of 723, 728, 860, 682?

GCD of given numbers 723, 728, 860, 682 is 1

2. How to calculate the greatest common divisor of 723, 728, 860, 682?

We can find the highest common divisor of 723, 728, 860, 682 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 723, 728, 860, 682 i.e 1.

3. How can I use the GCD of 723, 728, 860, 682Calculator?

Out the numbers 723, 728, 860, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.