GCD of 442, 678, 518, 728 Calculator

Given Input numbers are 442, 678, 518, 728

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 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 518 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (442, 678, 518, 728) = 2.

Given numbers are 442, 678, 518, 728

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 678 are 2 x 3 x 113

Prime factors of 518 are 2 x 7 x 37

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

The highest common occurrence is 2¹

Therefore, GCD of 442, 678, 518, 728 is 2.

Given numbers are 442, 678, 518, 728

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

Apply this formula for all numbers.

Step1:

LCM(442, 678) = 149838

GCD(442, 678) = ( 442 x 678 ) / 149838

= 442 / 678

= 442

Step2:

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

= 2 / 518

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 442, 678, 518, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 902, 951, 776
• GCD of 627, 436, 703, 390
• GCD of 558, 172, 201, 505
• GCD of 583, 332, 342, 526
• GCD of 772, 599, 131, 589

Given numbers are 442, 678, 518, 728
The greatest common divisor of numbers 442, 678, 518, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 678, 518, 728 is 2.

1. What is the GCD of 442, 678, 518, 728?

GCD of given numbers 442, 678, 518, 728 is 2

2. How to calculate the greatest common divisor of 442, 678, 518, 728?

We can find the highest common divisor of 442, 678, 518, 728 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, 678, 518, 728 i.e 2.

3. How can I use the GCD of 442, 678, 518, 728Calculator?

Out the numbers 442, 678, 518, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.