GCD of 284, 394, 679, 728 Calculator

Given Input numbers are 284, 394, 679, 728

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

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 (284, 394, 679, 728) = 1.

Given numbers are 284, 394, 679, 728

The list of prime factors of all numbers are

Prime factors of 284 are 2 x 2 x 71

Prime factors of 394 are 2 x 197

Prime factors of 679 are 7 x 97

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 284, 394, 679, 728

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

Apply this formula for all numbers.

Step1:

LCM(284, 394) = 55948

GCD(284, 394) = ( 284 x 394 ) / 55948

= 284 / 394

= 284

Step2:

LCM(2, 679) = 1358

GCD(2, 679) = ( 2 x 679 ) / 1358

= 2 / 679

= 2

Step3:

LCM(1, 728) = 728

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

= 1 / 728

= 1

So, Greatest Common Divisor of 284, 394, 679, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 727, 779, 383
• GCD of 843, 563, 764, 474
• GCD of 965, 948, 257, 513
• GCD of 595, 324, 388, 658
• GCD of 748, 507, 980, 508

Given numbers are 284, 394, 679, 728
The greatest common divisor of numbers 284, 394, 679, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 394, 679, 728 is 1.

1. What is the GCD of 284, 394, 679, 728?

GCD of given numbers 284, 394, 679, 728 is 1

2. How to calculate the greatest common divisor of 284, 394, 679, 728?

We can find the highest common divisor of 284, 394, 679, 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 284, 394, 679, 728 i.e 1.

3. How can I use the GCD of 284, 394, 679, 728Calculator?

Out the numbers 284, 394, 679, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.