GCD of 112, 449, 559, 355 Calculator

Given Input numbers are 112, 449, 559, 355

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 449 :

The positive integer divisors of 449 that completely divides 449 are.

1, 449

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (112, 449, 559, 355) = 1.

Given numbers are 112, 449, 559, 355

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 449 are 449

Prime factors of 559 are 13 x 43

Prime factors of 355 are 5 x 71

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

Given numbers are 112, 449, 559, 355

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

Apply this formula for all numbers.

Step1:

LCM(112, 449) = 50288

GCD(112, 449) = ( 112 x 449 ) / 50288

= 112 / 449

= 112

Step2:

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

= 1 / 559

= 1

Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 112, 449, 559, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 180, 434, 439
• GCD of 268, 881, 607, 551
• GCD of 289, 460, 274, 214
• GCD of 980, 952, 206, 749
• GCD of 693, 723, 866, 484

Given numbers are 112, 449, 559, 355
The greatest common divisor of numbers 112, 449, 559, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 449, 559, 355 is 1.

1. What is the GCD of 112, 449, 559, 355?

GCD of given numbers 112, 449, 559, 355 is 1

2. How to calculate the greatest common divisor of 112, 449, 559, 355?

We can find the highest common divisor of 112, 449, 559, 355 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, 449, 559, 355 i.e 1.

3. How can I use the GCD of 112, 449, 559, 355Calculator?

Out the numbers 112, 449, 559, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.