GCD of 391, 442, 728, 996 Calculator

Given Input numbers are 391, 442, 728, 996

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

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

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 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (391, 442, 728, 996) = 1.

Given numbers are 391, 442, 728, 996

The list of prime factors of all numbers are

Prime factors of 391 are 17 x 23

Prime factors of 442 are 2 x 13 x 17

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

Prime factors of 996 are 2 x 2 x 3 x 83

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

Given numbers are 391, 442, 728, 996

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

Apply this formula for all numbers.

Step1:

LCM(391, 442) = 10166

GCD(391, 442) = ( 391 x 442 ) / 10166

= 391 / 442

= 391

Step2:

LCM(17, 728) = 12376

GCD(17, 728) = ( 17 x 728 ) / 12376

= 17 / 728

= 17

Step3:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1

So, Greatest Common Divisor of 391, 442, 728, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 179, 940, 799
• GCD of 113, 326, 807, 999
• GCD of 245, 547, 975, 760
• GCD of 308, 104, 865, 205
• GCD of 791, 768, 619, 693

Given numbers are 391, 442, 728, 996
The greatest common divisor of numbers 391, 442, 728, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 391, 442, 728, 996 is 1.

1. What is the GCD of 391, 442, 728, 996?

GCD of given numbers 391, 442, 728, 996 is 1

2. How to calculate the greatest common divisor of 391, 442, 728, 996?

We can find the highest common divisor of 391, 442, 728, 996 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 391, 442, 728, 996 i.e 1.

3. How can I use the GCD of 391, 442, 728, 996Calculator?

Out the numbers 391, 442, 728, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.