GCD of 112, 100, 504, 994 Calculator

Given Input numbers are 112, 100, 504, 994

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (112, 100, 504, 994) = 2.

Given numbers are 112, 100, 504, 994

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 100 are 2 x 2 x 5 x 5

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 2¹

Therefore, GCD of 112, 100, 504, 994 is 2.

Given numbers are 112, 100, 504, 994

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

Apply this formula for all numbers.

Step1:

LCM(112, 100) = 2800

GCD(112, 100) = ( 112 x 100 ) / 2800

= 112 / 100

= 112

Step2:

LCM(4, 504) = 504

GCD(4, 504) = ( 4 x 504 ) / 504

= 4 / 504

= 4

Step3:

LCM(4, 994) = 1988

GCD(4, 994) = ( 4 x 994 ) / 1988

= 4 / 994

= 4

So, Greatest Common Divisor of 112, 100, 504, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 244, 508, 760
• GCD of 587, 581, 230, 581
• GCD of 531, 272, 362, 836
• GCD of 715, 445, 451, 968
• GCD of 538, 367, 431, 646

Given numbers are 112, 100, 504, 994
The greatest common divisor of numbers 112, 100, 504, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 100, 504, 994 is 2.

1. What is the GCD of 112, 100, 504, 994?

GCD of given numbers 112, 100, 504, 994 is 2

2. How to calculate the greatest common divisor of 112, 100, 504, 994?

We can find the highest common divisor of 112, 100, 504, 994 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, 100, 504, 994 i.e 2.

3. How can I use the GCD of 112, 100, 504, 994Calculator?

Out the numbers 112, 100, 504, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.