GCD of 984, 814, 28, 506 Calculator

Given Input numbers are 984, 814, 28, 506

In the factoring method, we have to find the divisors of all numbers

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (984, 814, 28, 506) = 2.

Given numbers are 984, 814, 28, 506

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 814 are 2 x 11 x 37

Prime factors of 28 are 2 x 2 x 7

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 984, 814, 28, 506 is 2.

Given numbers are 984, 814, 28, 506

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

Apply this formula for all numbers.

Step1:

LCM(984, 814) = 400488

GCD(984, 814) = ( 984 x 814 ) / 400488

= 984 / 814

= 984

Step2:

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

= 2 / 28

= 2

Step3:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 984, 814, 28, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 459, 61, 274
• GCD of 566, 411, 96, 220
• GCD of 218, 194, 97, 325
• GCD of 546, 476, 59, 943
• GCD of 335, 735, 78, 196

Given numbers are 984, 814, 28, 506
The greatest common divisor of numbers 984, 814, 28, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 814, 28, 506 is 2.

1. What is the GCD of 984, 814, 28, 506?

GCD of given numbers 984, 814, 28, 506 is 2

2. How to calculate the greatest common divisor of 984, 814, 28, 506?

We can find the highest common divisor of 984, 814, 28, 506 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 984, 814, 28, 506 i.e 2.

3. How can I use the GCD of 984, 814, 28, 506Calculator?

Out the numbers 984, 814, 28, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.