GCD of 814, 872, 627, 728 Calculator

Given Input numbers are 814, 872, 627, 728

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

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

GCD of numbers is the greatest common divisor

So, the GCD (814, 872, 627, 728) = 1.

Given numbers are 814, 872, 627, 728

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 627 are 3 x 11 x 19

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

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

Given numbers are 814, 872, 627, 728

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

Apply this formula for all numbers.

Step1:

LCM(814, 872) = 354904

GCD(814, 872) = ( 814 x 872 ) / 354904

= 814 / 872

= 814

Step2:

LCM(2, 627) = 1254

GCD(2, 627) = ( 2 x 627 ) / 1254

= 2 / 627

= 2

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 814, 872, 627, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 218, 286, 618
• GCD of 982, 516, 933, 430
• GCD of 958, 968, 331, 683
• GCD of 211, 708, 825, 161
• GCD of 427, 280, 910, 459

Given numbers are 814, 872, 627, 728
The greatest common divisor of numbers 814, 872, 627, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 872, 627, 728 is 1.

1. What is the GCD of 814, 872, 627, 728?

GCD of given numbers 814, 872, 627, 728 is 1

2. How to calculate the greatest common divisor of 814, 872, 627, 728?

We can find the highest common divisor of 814, 872, 627, 728 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 814, 872, 627, 728 i.e 1.

3. How can I use the GCD of 814, 872, 627, 728Calculator?

Out the numbers 814, 872, 627, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.