GCD of 984, 728, 614, 176 Calculator

Given Input numbers are 984, 728, 614, 176

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

GCD of numbers is the greatest common divisor

So, the GCD (984, 728, 614, 176) = 2.

Given numbers are 984, 728, 614, 176

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 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 614 are 2 x 307

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 984, 728, 614, 176 is 2.

Given numbers are 984, 728, 614, 176

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

Apply this formula for all numbers.

Step1:

LCM(984, 728) = 89544

GCD(984, 728) = ( 984 x 728 ) / 89544

= 984 / 728

= 984

Step2:

LCM(8, 614) = 2456

GCD(8, 614) = ( 8 x 614 ) / 2456

= 8 / 614

= 8

Step3:

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

= 2 / 176

= 2

So, Greatest Common Divisor of 984, 728, 614, 176 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 154, 284, 489
• GCD of 900, 870, 857, 959
• GCD of 583, 672, 728, 832
• GCD of 678, 111, 958, 646
• GCD of 609, 329, 278, 518

Given numbers are 984, 728, 614, 176
The greatest common divisor of numbers 984, 728, 614, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 728, 614, 176 is 2.

1. What is the GCD of 984, 728, 614, 176?

GCD of given numbers 984, 728, 614, 176 is 2

2. How to calculate the greatest common divisor of 984, 728, 614, 176?

We can find the highest common divisor of 984, 728, 614, 176 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, 728, 614, 176 i.e 2.

3. How can I use the GCD of 984, 728, 614, 176Calculator?

Out the numbers 984, 728, 614, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.