GCD of 830, 774, 832, 384 Calculator

Given Input numbers are 830, 774, 832, 384

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

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (830, 774, 832, 384) = 2.

Given numbers are 830, 774, 832, 384

The list of prime factors of all numbers are

Prime factors of 830 are 2 x 5 x 83

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 830, 774, 832, 384 is 2.

Given numbers are 830, 774, 832, 384

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

Apply this formula for all numbers.

Step1:

LCM(830, 774) = 321210

GCD(830, 774) = ( 830 x 774 ) / 321210

= 830 / 774

= 830

Step2:

LCM(2, 832) = 832

GCD(2, 832) = ( 2 x 832 ) / 832

= 2 / 832

= 2

Step3:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

So, Greatest Common Divisor of 830, 774, 832, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 718, 794, 909
• GCD of 263, 451, 546, 221
• GCD of 320, 500, 752, 185
• GCD of 467, 740, 779, 515
• GCD of 420, 664, 600, 781

Given numbers are 830, 774, 832, 384
The greatest common divisor of numbers 830, 774, 832, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 830, 774, 832, 384 is 2.

1. What is the GCD of 830, 774, 832, 384?

GCD of given numbers 830, 774, 832, 384 is 2

2. How to calculate the greatest common divisor of 830, 774, 832, 384?

We can find the highest common divisor of 830, 774, 832, 384 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 830, 774, 832, 384 i.e 2.

3. How can I use the GCD of 830, 774, 832, 384Calculator?

Out the numbers 830, 774, 832, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.