GCD of 112, 832, 996 Calculator

Given Input numbers are 112, 832, 996

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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 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 (112, 832, 996) = 4.

Given numbers are 112, 832, 996

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

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

The highest common occurrence is 2²

Therefore, GCD of 112, 832, 996 is 4.

Given numbers are 112, 832, 996

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

Apply this formula for all numbers.

Step1:

LCM(112, 832) = 5824

GCD(112, 832) = ( 112 x 832 ) / 5824

= 112 / 832

= 112

Step2:

LCM(16, 996) = 3984

GCD(16, 996) = ( 16 x 996 ) / 3984

= 16 / 996

= 16

So, Greatest Common Divisor of 112, 832, 996 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 868, 631
• GCD of 367, 644, 441
• GCD of 570, 767, 567
• GCD of 795, 335, 178
• GCD of 381, 486, 618

Given numbers are 112, 832, 996
The greatest common divisor of numbers 112, 832, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 832, 996 is 4.

1. What is the GCD of 112, 832, 996?

GCD of given numbers 112, 832, 996 is 4

2. How to calculate the greatest common divisor of 112, 832, 996?

We can find the highest common divisor of 112, 832, 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 112, 832, 996 i.e 4.

3. How can I use the GCD of 112, 832, 996Calculator?

Out the numbers 112, 832, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.