GCD of 112, 113, 562, 990 Calculator

Given Input numbers are 112, 113, 562, 990

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 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (112, 113, 562, 990) = 1.

Given numbers are 112, 113, 562, 990

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 113 are 113

Prime factors of 562 are 2 x 281

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 112, 113, 562, 990

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

Apply this formula for all numbers.

Step1:

LCM(112, 113) = 12656

GCD(112, 113) = ( 112 x 113 ) / 12656

= 112 / 113

= 112

Step2:

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

= 1 / 562

= 1

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 112, 113, 562, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 690, 446, 275
• GCD of 563, 893, 570, 329
• GCD of 353, 217, 945, 518
• GCD of 673, 958, 982, 456
• GCD of 201, 338, 654, 145

Given numbers are 112, 113, 562, 990
The greatest common divisor of numbers 112, 113, 562, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 113, 562, 990 is 1.

1. What is the GCD of 112, 113, 562, 990?

GCD of given numbers 112, 113, 562, 990 is 1

2. How to calculate the greatest common divisor of 112, 113, 562, 990?

We can find the highest common divisor of 112, 113, 562, 990 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, 113, 562, 990 i.e 1.

3. How can I use the GCD of 112, 113, 562, 990Calculator?

Out the numbers 112, 113, 562, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.