GCD of 816, 728, 342, 230 Calculator

Given Input numbers are 816, 728, 342, 230

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

GCD of numbers is the greatest common divisor

So, the GCD (816, 728, 342, 230) = 2.

Given numbers are 816, 728, 342, 230

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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

Prime factors of 230 are 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 816, 728, 342, 230 is 2.

Given numbers are 816, 728, 342, 230

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

Apply this formula for all numbers.

Step1:

LCM(816, 728) = 74256

GCD(816, 728) = ( 816 x 728 ) / 74256

= 816 / 728

= 816

Step2:

LCM(8, 342) = 1368

GCD(8, 342) = ( 8 x 342 ) / 1368

= 8 / 342

= 8

Step3:

LCM(2, 230) = 230

GCD(2, 230) = ( 2 x 230 ) / 230

= 2 / 230

= 2

So, Greatest Common Divisor of 816, 728, 342, 230 is 2

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• GCD of 588, 943, 932, 951
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Given numbers are 816, 728, 342, 230
The greatest common divisor of numbers 816, 728, 342, 230 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 728, 342, 230 is 2.

1. What is the GCD of 816, 728, 342, 230?

GCD of given numbers 816, 728, 342, 230 is 2

2. How to calculate the greatest common divisor of 816, 728, 342, 230?

We can find the highest common divisor of 816, 728, 342, 230 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 816, 728, 342, 230 i.e 2.

3. How can I use the GCD of 816, 728, 342, 230Calculator?

Out the numbers 816, 728, 342, 230 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.