GCD of 442, 728, 518, 314 Calculator

Given Input numbers are 442, 728, 518, 314

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

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 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (442, 728, 518, 314) = 2.

Given numbers are 442, 728, 518, 314

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 518 are 2 x 7 x 37

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 442, 728, 518, 314 is 2.

Given numbers are 442, 728, 518, 314

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

Apply this formula for all numbers.

Step1:

LCM(442, 728) = 12376

GCD(442, 728) = ( 442 x 728 ) / 12376

= 442 / 728

= 442

Step2:

LCM(26, 518) = 6734

GCD(26, 518) = ( 26 x 518 ) / 6734

= 26 / 518

= 26

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 442, 728, 518, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 146, 526, 191
• GCD of 624, 598, 557, 591
• GCD of 684, 180, 774, 930
• GCD of 665, 656, 640, 118
• GCD of 423, 647, 786, 306

Given numbers are 442, 728, 518, 314
The greatest common divisor of numbers 442, 728, 518, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 728, 518, 314 is 2.

1. What is the GCD of 442, 728, 518, 314?

GCD of given numbers 442, 728, 518, 314 is 2

2. How to calculate the greatest common divisor of 442, 728, 518, 314?

We can find the highest common divisor of 442, 728, 518, 314 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 442, 728, 518, 314 i.e 2.

3. How can I use the GCD of 442, 728, 518, 314Calculator?

Out the numbers 442, 728, 518, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.