GCD of 996, 384, 496, 892 Calculator

Given Input numbers are 996, 384, 496, 892

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

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

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

GCD of numbers is the greatest common divisor

So, the GCD (996, 384, 496, 892) = 4.

Given numbers are 996, 384, 496, 892

The list of prime factors of all numbers are

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

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

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 892 are 2 x 2 x 223

The highest common occurrence is 2²

Therefore, GCD of 996, 384, 496, 892 is 4.

Given numbers are 996, 384, 496, 892

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

Apply this formula for all numbers.

Step1:

LCM(996, 384) = 31872

GCD(996, 384) = ( 996 x 384 ) / 31872

= 996 / 384

= 996

Step2:

LCM(12, 496) = 1488

GCD(12, 496) = ( 12 x 496 ) / 1488

= 12 / 496

= 12

Step3:

LCM(4, 892) = 892

GCD(4, 892) = ( 4 x 892 ) / 892

= 4 / 892

= 4

So, Greatest Common Divisor of 996, 384, 496, 892 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 599, 270, 833
• GCD of 423, 738, 168, 816
• GCD of 421, 183, 193, 469
• GCD of 679, 872, 108, 672
• GCD of 263, 252, 160, 712

Given numbers are 996, 384, 496, 892
The greatest common divisor of numbers 996, 384, 496, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 384, 496, 892 is 4.

1. What is the GCD of 996, 384, 496, 892?

GCD of given numbers 996, 384, 496, 892 is 4

2. How to calculate the greatest common divisor of 996, 384, 496, 892?

We can find the highest common divisor of 996, 384, 496, 892 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 996, 384, 496, 892 i.e 4.

3. How can I use the GCD of 996, 384, 496, 892Calculator?

Out the numbers 996, 384, 496, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.