GCD of 112, 432, 792, 374 Calculator

Given Input numbers are 112, 432, 792, 374

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (112, 432, 792, 374) = 2.

Given numbers are 112, 432, 792, 374

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 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 112, 432, 792, 374 is 2.

Given numbers are 112, 432, 792, 374

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

Apply this formula for all numbers.

Step1:

LCM(112, 432) = 3024

GCD(112, 432) = ( 112 x 432 ) / 3024

= 112 / 432

= 112

Step2:

LCM(16, 792) = 1584

GCD(16, 792) = ( 16 x 792 ) / 1584

= 16 / 792

= 16

Step3:

LCM(8, 374) = 1496

GCD(8, 374) = ( 8 x 374 ) / 1496

= 8 / 374

= 8

So, Greatest Common Divisor of 112, 432, 792, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 268, 219, 998
• GCD of 116, 962, 523, 279
• GCD of 131, 539, 354, 223
• GCD of 866, 219, 444, 152
• GCD of 388, 319, 789, 503

Given numbers are 112, 432, 792, 374
The greatest common divisor of numbers 112, 432, 792, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 432, 792, 374 is 2.

1. What is the GCD of 112, 432, 792, 374?

GCD of given numbers 112, 432, 792, 374 is 2

2. How to calculate the greatest common divisor of 112, 432, 792, 374?

We can find the highest common divisor of 112, 432, 792, 374 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, 432, 792, 374 i.e 2.

3. How can I use the GCD of 112, 432, 792, 374Calculator?

Out the numbers 112, 432, 792, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.