GCD of 728, 216, 227, 175 Calculator

Given Input numbers are 728, 216, 227, 175

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 227 :

The positive integer divisors of 227 that completely divides 227 are.

1, 227

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

GCD of numbers is the greatest common divisor

So, the GCD (728, 216, 227, 175) = 1.

Given numbers are 728, 216, 227, 175

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 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 227 are 227

Prime factors of 175 are 5 x 5 x 7

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

Given numbers are 728, 216, 227, 175

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

Apply this formula for all numbers.

Step1:

LCM(728, 216) = 19656

GCD(728, 216) = ( 728 x 216 ) / 19656

= 728 / 216

= 728

Step2:

LCM(8, 227) = 1816

GCD(8, 227) = ( 8 x 227 ) / 1816

= 8 / 227

= 8

Step3:

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

= 1 / 175

= 1

So, Greatest Common Divisor of 728, 216, 227, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 821, 170, 123
• GCD of 104, 189, 305, 350
• GCD of 241, 125, 751, 866
• GCD of 944, 623, 192, 272
• GCD of 480, 785, 101, 386

Given numbers are 728, 216, 227, 175
The greatest common divisor of numbers 728, 216, 227, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 216, 227, 175 is 1.

1. What is the GCD of 728, 216, 227, 175?

GCD of given numbers 728, 216, 227, 175 is 1

2. How to calculate the greatest common divisor of 728, 216, 227, 175?

We can find the highest common divisor of 728, 216, 227, 175 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, 216, 227, 175 i.e 1.

3. How can I use the GCD of 728, 216, 227, 175Calculator?

Out the numbers 728, 216, 227, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.