GCD of 352, 638, 110, 728 Calculator

Given Input numbers are 352, 638, 110, 728

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

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 (352, 638, 110, 728) = 2.

Given numbers are 352, 638, 110, 728

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 638 are 2 x 11 x 29

Prime factors of 110 are 2 x 5 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 352, 638, 110, 728 is 2.

Given numbers are 352, 638, 110, 728

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

Apply this formula for all numbers.

Step1:

LCM(352, 638) = 10208

GCD(352, 638) = ( 352 x 638 ) / 10208

= 352 / 638

= 352

Step2:

LCM(22, 110) = 110

GCD(22, 110) = ( 22 x 110 ) / 110

= 22 / 110

= 22

Step3:

LCM(22, 728) = 8008

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

= 22 / 728

= 22

So, Greatest Common Divisor of 352, 638, 110, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 548, 816, 822
• GCD of 253, 712, 742, 549
• GCD of 910, 922, 646, 108
• GCD of 625, 794, 395, 295
• GCD of 898, 112, 401, 393

Given numbers are 352, 638, 110, 728
The greatest common divisor of numbers 352, 638, 110, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 638, 110, 728 is 2.

1. What is the GCD of 352, 638, 110, 728?

GCD of given numbers 352, 638, 110, 728 is 2

2. How to calculate the greatest common divisor of 352, 638, 110, 728?

We can find the highest common divisor of 352, 638, 110, 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 352, 638, 110, 728 i.e 2.

3. How can I use the GCD of 352, 638, 110, 728Calculator?

Out the numbers 352, 638, 110, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.