GCD of 728, 192, 357, 361 Calculator

Given Input numbers are 728, 192, 357, 361

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 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (728, 192, 357, 361) = 1.

Given numbers are 728, 192, 357, 361

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 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 357 are 3 x 7 x 17

Prime factors of 361 are 19 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 728, 192, 357, 361

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

Apply this formula for all numbers.

Step1:

LCM(728, 192) = 17472

GCD(728, 192) = ( 728 x 192 ) / 17472

= 728 / 192

= 728

Step2:

LCM(8, 357) = 2856

GCD(8, 357) = ( 8 x 357 ) / 2856

= 8 / 357

= 8

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 728, 192, 357, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 380, 824, 248
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• GCD of 793, 474, 443, 828
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• GCD of 595, 397, 253, 269

Given numbers are 728, 192, 357, 361
The greatest common divisor of numbers 728, 192, 357, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 192, 357, 361 is 1.

1. What is the GCD of 728, 192, 357, 361?

GCD of given numbers 728, 192, 357, 361 is 1

2. How to calculate the greatest common divisor of 728, 192, 357, 361?

We can find the highest common divisor of 728, 192, 357, 361 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, 192, 357, 361 i.e 1.

3. How can I use the GCD of 728, 192, 357, 361Calculator?

Out the numbers 728, 192, 357, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.