GCD of 112, 792, 727, 405 Calculator

Given Input numbers are 112, 792, 727, 405

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 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 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

GCD of numbers is the greatest common divisor

So, the GCD (112, 792, 727, 405) = 1.

Given numbers are 112, 792, 727, 405

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 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 727 are 727

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

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

Given numbers are 112, 792, 727, 405

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

Apply this formula for all numbers.

Step1:

LCM(112, 792) = 11088

GCD(112, 792) = ( 112 x 792 ) / 11088

= 112 / 792

= 112

Step2:

LCM(8, 727) = 5816

GCD(8, 727) = ( 8 x 727 ) / 5816

= 8 / 727

= 8

Step3:

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

= 1 / 405

= 1

So, Greatest Common Divisor of 112, 792, 727, 405 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 881, 958, 854, 776
• GCD of 453, 382, 948, 662
• GCD of 148, 109, 798, 888
• GCD of 639, 896, 736, 260
• GCD of 415, 389, 913, 731

Given numbers are 112, 792, 727, 405
The greatest common divisor of numbers 112, 792, 727, 405 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 792, 727, 405 is 1.

1. What is the GCD of 112, 792, 727, 405?

GCD of given numbers 112, 792, 727, 405 is 1

2. How to calculate the greatest common divisor of 112, 792, 727, 405?

We can find the highest common divisor of 112, 792, 727, 405 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, 792, 727, 405 i.e 1.

3. How can I use the GCD of 112, 792, 727, 405Calculator?

Out the numbers 112, 792, 727, 405 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.