GCD of 796, 462, 828, 192 Calculator

Given Input numbers are 796, 462, 828, 192

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

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (796, 462, 828, 192) = 2.

Given numbers are 796, 462, 828, 192

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 796, 462, 828, 192 is 2.

Given numbers are 796, 462, 828, 192

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

Apply this formula for all numbers.

Step1:

LCM(796, 462) = 183876

GCD(796, 462) = ( 796 x 462 ) / 183876

= 796 / 462

= 796

Step2:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

Step3:

LCM(2, 192) = 192

GCD(2, 192) = ( 2 x 192 ) / 192

= 2 / 192

= 2

So, Greatest Common Divisor of 796, 462, 828, 192 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 555, 416, 623
• GCD of 962, 625, 875, 271
• GCD of 176, 970, 900, 445
• GCD of 895, 783, 771, 692
• GCD of 122, 409, 696, 276

Given numbers are 796, 462, 828, 192
The greatest common divisor of numbers 796, 462, 828, 192 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 462, 828, 192 is 2.

1. What is the GCD of 796, 462, 828, 192?

GCD of given numbers 796, 462, 828, 192 is 2

2. How to calculate the greatest common divisor of 796, 462, 828, 192?

We can find the highest common divisor of 796, 462, 828, 192 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 796, 462, 828, 192 i.e 2.

3. How can I use the GCD of 796, 462, 828, 192Calculator?

Out the numbers 796, 462, 828, 192 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.