GCD of 814, 418, 728, 342 Calculator

Given Input numbers are 814, 418, 728, 342

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

Divisors of 814 :

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

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

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (814, 418, 728, 342) = 2.

Given numbers are 814, 418, 728, 342

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 418 are 2 x 11 x 19

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

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 814, 418, 728, 342 is 2.

Given numbers are 814, 418, 728, 342

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

Apply this formula for all numbers.

Step1:

LCM(814, 418) = 15466

GCD(814, 418) = ( 814 x 418 ) / 15466

= 814 / 418

= 814

Step2:

LCM(22, 728) = 8008

GCD(22, 728) = ( 22 x 728 ) / 8008

= 22 / 728

= 22

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 814, 418, 728, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 264, 710, 425
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• GCD of 935, 568, 893, 480
• GCD of 358, 913, 405, 912
• GCD of 213, 184, 977, 641

Given numbers are 814, 418, 728, 342
The greatest common divisor of numbers 814, 418, 728, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 418, 728, 342 is 2.

1. What is the GCD of 814, 418, 728, 342?

GCD of given numbers 814, 418, 728, 342 is 2

2. How to calculate the greatest common divisor of 814, 418, 728, 342?

We can find the highest common divisor of 814, 418, 728, 342 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 814, 418, 728, 342 i.e 2.

3. How can I use the GCD of 814, 418, 728, 342Calculator?

Out the numbers 814, 418, 728, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.