GCD of 728, 407, 398, 841 Calculator

Given Input numbers are 728, 407, 398, 841

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 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 841 :

The positive integer divisors of 841 that completely divides 841 are.

1, 29, 841

GCD of numbers is the greatest common divisor

So, the GCD (728, 407, 398, 841) = 1.

Given numbers are 728, 407, 398, 841

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 407 are 11 x 37

Prime factors of 398 are 2 x 199

Prime factors of 841 are 29 x 29

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

Given numbers are 728, 407, 398, 841

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

Apply this formula for all numbers.

Step1:

LCM(728, 407) = 296296

GCD(728, 407) = ( 728 x 407 ) / 296296

= 728 / 407

= 728

Step2:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

Step3:

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

= 1 / 841

= 1

So, Greatest Common Divisor of 728, 407, 398, 841 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 367, 233, 483
• GCD of 151, 796, 900, 366
• GCD of 301, 200, 148, 479
• GCD of 512, 222, 671, 781
• GCD of 658, 400, 566, 656

Given numbers are 728, 407, 398, 841
The greatest common divisor of numbers 728, 407, 398, 841 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 407, 398, 841 is 1.

1. What is the GCD of 728, 407, 398, 841?

GCD of given numbers 728, 407, 398, 841 is 1

2. How to calculate the greatest common divisor of 728, 407, 398, 841?

We can find the highest common divisor of 728, 407, 398, 841 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, 407, 398, 841 i.e 1.

3. How can I use the GCD of 728, 407, 398, 841Calculator?

Out the numbers 728, 407, 398, 841 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.