GCD of 784, 386, 14, 798 Calculator

Given Input numbers are 784, 386, 14, 798

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (784, 386, 14, 798) = 2.

Given numbers are 784, 386, 14, 798

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 386 are 2 x 193

Prime factors of 14 are 2 x 7

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 784, 386, 14, 798 is 2.

Given numbers are 784, 386, 14, 798

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

Apply this formula for all numbers.

Step1:

LCM(784, 386) = 151312

GCD(784, 386) = ( 784 x 386 ) / 151312

= 784 / 386

= 784

Step2:

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

= 2 / 14

= 2

Step3:

LCM(2, 798) = 798

GCD(2, 798) = ( 2 x 798 ) / 798

= 2 / 798

= 2

So, Greatest Common Divisor of 784, 386, 14, 798 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 375, 76, 441
• GCD of 277, 990, 52, 300
• GCD of 271, 665, 61, 936
• GCD of 170, 191, 18, 446
• GCD of 970, 372, 38, 100

Given numbers are 784, 386, 14, 798
The greatest common divisor of numbers 784, 386, 14, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 386, 14, 798 is 2.

1. What is the GCD of 784, 386, 14, 798?

GCD of given numbers 784, 386, 14, 798 is 2

2. How to calculate the greatest common divisor of 784, 386, 14, 798?

We can find the highest common divisor of 784, 386, 14, 798 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 784, 386, 14, 798 i.e 2.

3. How can I use the GCD of 784, 386, 14, 798Calculator?

Out the numbers 784, 386, 14, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.