GCD of 728, 389, 838, 402 Calculator

Given Input numbers are 728, 389, 838, 402

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 389 :

The positive integer divisors of 389 that completely divides 389 are.

1, 389

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (728, 389, 838, 402) = 1.

Given numbers are 728, 389, 838, 402

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 389 are 389

Prime factors of 838 are 2 x 419

Prime factors of 402 are 2 x 3 x 67

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

Given numbers are 728, 389, 838, 402

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

Apply this formula for all numbers.

Step1:

LCM(728, 389) = 283192

GCD(728, 389) = ( 728 x 389 ) / 283192

= 728 / 389

= 728

Step2:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1

Step3:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1

So, Greatest Common Divisor of 728, 389, 838, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 483, 805, 718, 352
• GCD of 574, 914, 396, 846
• GCD of 956, 114, 474, 832
• GCD of 934, 982, 133, 340
• GCD of 284, 505, 404, 293

Given numbers are 728, 389, 838, 402
The greatest common divisor of numbers 728, 389, 838, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 389, 838, 402 is 1.

1. What is the GCD of 728, 389, 838, 402?

GCD of given numbers 728, 389, 838, 402 is 1

2. How to calculate the greatest common divisor of 728, 389, 838, 402?

We can find the highest common divisor of 728, 389, 838, 402 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, 389, 838, 402 i.e 1.

3. How can I use the GCD of 728, 389, 838, 402Calculator?

Out the numbers 728, 389, 838, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.