GCD of 831, 384, 738, 112 Calculator

Given Input numbers are 831, 384, 738, 112

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

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 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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 (831, 384, 738, 112) = 1.

Given numbers are 831, 384, 738, 112

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

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

Prime factors of 738 are 2 x 3 x 3 x 41

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 831, 384, 738, 112

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

Apply this formula for all numbers.

Step1:

LCM(831, 384) = 106368

GCD(831, 384) = ( 831 x 384 ) / 106368

= 831 / 384

= 831

Step2:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

Step3:

LCM(3, 112) = 336

GCD(3, 112) = ( 3 x 112 ) / 336

= 3 / 112

= 3

So, Greatest Common Divisor of 831, 384, 738, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 209, 116, 754
• GCD of 261, 425, 558, 472
• GCD of 786, 785, 461, 584
• GCD of 782, 788, 249, 641
• GCD of 218, 318, 797, 837

Given numbers are 831, 384, 738, 112
The greatest common divisor of numbers 831, 384, 738, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 384, 738, 112 is 1.

1. What is the GCD of 831, 384, 738, 112?

GCD of given numbers 831, 384, 738, 112 is 1

2. How to calculate the greatest common divisor of 831, 384, 738, 112?

We can find the highest common divisor of 831, 384, 738, 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 831, 384, 738, 112 i.e 1.

3. How can I use the GCD of 831, 384, 738, 112Calculator?

Out the numbers 831, 384, 738, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.