GCD of 728, 844, 348, 824 Calculator

Given Input numbers are 728, 844, 348, 824

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

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 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (728, 844, 348, 824) = 4.

Given numbers are 728, 844, 348, 824

The list of prime factors of all numbers are

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

Prime factors of 844 are 2 x 2 x 211

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2²

Therefore, GCD of 728, 844, 348, 824 is 4.

Given numbers are 728, 844, 348, 824

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

Apply this formula for all numbers.

Step1:

LCM(728, 844) = 153608

GCD(728, 844) = ( 728 x 844 ) / 153608

= 728 / 844

= 728

Step2:

LCM(4, 348) = 348

GCD(4, 348) = ( 4 x 348 ) / 348

= 4 / 348

= 4

Step3:

LCM(4, 824) = 824

GCD(4, 824) = ( 4 x 824 ) / 824

= 4 / 824

= 4

So, Greatest Common Divisor of 728, 844, 348, 824 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 531, 590, 768
• GCD of 114, 984, 551, 883
• GCD of 823, 564, 109, 393
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• GCD of 855, 383, 684, 953

Given numbers are 728, 844, 348, 824
The greatest common divisor of numbers 728, 844, 348, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 844, 348, 824 is 4.

1. What is the GCD of 728, 844, 348, 824?

GCD of given numbers 728, 844, 348, 824 is 4

2. How to calculate the greatest common divisor of 728, 844, 348, 824?

We can find the highest common divisor of 728, 844, 348, 824 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 728, 844, 348, 824 i.e 4.

3. How can I use the GCD of 728, 844, 348, 824Calculator?

Out the numbers 728, 844, 348, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.