GCD of 112, 198, 387, 455 Calculator

Given Input numbers are 112, 198, 387, 455

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

GCD of numbers is the greatest common divisor

So, the GCD (112, 198, 387, 455) = 1.

Given numbers are 112, 198, 387, 455

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 198 are 2 x 3 x 3 x 11

Prime factors of 387 are 3 x 3 x 43

Prime factors of 455 are 5 x 7 x 13

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

Given numbers are 112, 198, 387, 455

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

Apply this formula for all numbers.

Step1:

LCM(112, 198) = 11088

GCD(112, 198) = ( 112 x 198 ) / 11088

= 112 / 198

= 112

Step2:

LCM(2, 387) = 774

GCD(2, 387) = ( 2 x 387 ) / 774

= 2 / 387

= 2

Step3:

LCM(1, 455) = 455

GCD(1, 455) = ( 1 x 455 ) / 455

= 1 / 455

= 1

So, Greatest Common Divisor of 112, 198, 387, 455 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 774, 372, 857
• GCD of 122, 261, 123, 773
• GCD of 510, 532, 877, 316
• GCD of 552, 107, 979, 320
• GCD of 441, 684, 449, 285

Given numbers are 112, 198, 387, 455
The greatest common divisor of numbers 112, 198, 387, 455 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 198, 387, 455 is 1.

1. What is the GCD of 112, 198, 387, 455?

GCD of given numbers 112, 198, 387, 455 is 1

2. How to calculate the greatest common divisor of 112, 198, 387, 455?

We can find the highest common divisor of 112, 198, 387, 455 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, 198, 387, 455 i.e 1.

3. How can I use the GCD of 112, 198, 387, 455Calculator?

Out the numbers 112, 198, 387, 455 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.