GCD of 112, 563, 296, 231 Calculator

Given Input numbers are 112, 563, 296, 231

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 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (112, 563, 296, 231) = 1.

Given numbers are 112, 563, 296, 231

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 563 are 563

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 112, 563, 296, 231

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

Apply this formula for all numbers.

Step1:

LCM(112, 563) = 63056

GCD(112, 563) = ( 112 x 563 ) / 63056

= 112 / 563

= 112

Step2:

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

= 1 / 296

= 1

Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1

So, Greatest Common Divisor of 112, 563, 296, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 424, 110, 311
• GCD of 299, 423, 628, 582
• GCD of 839, 521, 709, 818
• GCD of 440, 150, 418, 943
• GCD of 806, 795, 100, 173

Given numbers are 112, 563, 296, 231
The greatest common divisor of numbers 112, 563, 296, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 563, 296, 231 is 1.

1. What is the GCD of 112, 563, 296, 231?

GCD of given numbers 112, 563, 296, 231 is 1

2. How to calculate the greatest common divisor of 112, 563, 296, 231?

We can find the highest common divisor of 112, 563, 296, 231 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, 563, 296, 231 i.e 1.

3. How can I use the GCD of 112, 563, 296, 231Calculator?

Out the numbers 112, 563, 296, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.