GCD of 432, 892, 232, 112 Calculator

Given Input numbers are 432, 892, 232, 112

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

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 892 :

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

1, 2, 4, 223, 446, 892

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 112 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (432, 892, 232, 112) = 4.

Given numbers are 432, 892, 232, 112

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 892 are 2 x 2 x 223

Prime factors of 232 are 2 x 2 x 2 x 29

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

The highest common occurrence is 2²

Therefore, GCD of 432, 892, 232, 112 is 4.

Given numbers are 432, 892, 232, 112

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

Apply this formula for all numbers.

Step1:

LCM(432, 892) = 96336

GCD(432, 892) = ( 432 x 892 ) / 96336

= 432 / 892

= 432

Step2:

LCM(4, 232) = 232

GCD(4, 232) = ( 4 x 232 ) / 232

= 4 / 232

= 4

Step3:

LCM(4, 112) = 112

GCD(4, 112) = ( 4 x 112 ) / 112

= 4 / 112

= 4

So, Greatest Common Divisor of 432, 892, 232, 112 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 507, 789, 590
• GCD of 916, 511, 822, 725
• GCD of 242, 335, 633, 379
• GCD of 263, 533, 996, 344
• GCD of 416, 459, 241, 516

Given numbers are 432, 892, 232, 112
The greatest common divisor of numbers 432, 892, 232, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 892, 232, 112 is 4.

1. What is the GCD of 432, 892, 232, 112?

GCD of given numbers 432, 892, 232, 112 is 4

2. How to calculate the greatest common divisor of 432, 892, 232, 112?

We can find the highest common divisor of 432, 892, 232, 112 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 432, 892, 232, 112 i.e 4.

3. How can I use the GCD of 432, 892, 232, 112Calculator?

Out the numbers 432, 892, 232, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.