GCD of 364, 192, 996 Calculator

Given Input numbers are 364, 192, 996

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

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 (364, 192, 996) = 4.

Given numbers are 364, 192, 996

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

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

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

The highest common occurrence is 2²

Therefore, GCD of 364, 192, 996 is 4.

Given numbers are 364, 192, 996

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

Apply this formula for all numbers.

Step1:

LCM(364, 192) = 17472

GCD(364, 192) = ( 364 x 192 ) / 17472

= 364 / 192

= 364

Step2:

LCM(4, 996) = 996

GCD(4, 996) = ( 4 x 996 ) / 996

= 4 / 996

= 4

So, Greatest Common Divisor of 364, 192, 996 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 577, 711
• GCD of 233, 565, 147
• GCD of 803, 891, 808
• GCD of 141, 280, 807
• GCD of 493, 354, 376

Given numbers are 364, 192, 996
The greatest common divisor of numbers 364, 192, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 192, 996 is 4.

1. What is the GCD of 364, 192, 996?

GCD of given numbers 364, 192, 996 is 4

2. How to calculate the greatest common divisor of 364, 192, 996?

We can find the highest common divisor of 364, 192, 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 364, 192, 996 i.e 4.

3. How can I use the GCD of 364, 192, 996Calculator?

Out the numbers 364, 192, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.