GCD of 475, 644, 721, 728 Calculator

Given Input numbers are 475, 644, 721, 728

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

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

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 (475, 644, 721, 728) = 1.

Given numbers are 475, 644, 721, 728

The list of prime factors of all numbers are

Prime factors of 475 are 5 x 5 x 19

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 721 are 7 x 103

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

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

Given numbers are 475, 644, 721, 728

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

Apply this formula for all numbers.

Step1:

LCM(475, 644) = 305900

GCD(475, 644) = ( 475 x 644 ) / 305900

= 475 / 644

= 475

Step2:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 475, 644, 721, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 367, 109, 683
• GCD of 231, 212, 517, 418
• GCD of 927, 209, 355, 178
• GCD of 280, 808, 551, 128
• GCD of 886, 994, 617, 239

Given numbers are 475, 644, 721, 728
The greatest common divisor of numbers 475, 644, 721, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 475, 644, 721, 728 is 1.

1. What is the GCD of 475, 644, 721, 728?

GCD of given numbers 475, 644, 721, 728 is 1

2. How to calculate the greatest common divisor of 475, 644, 721, 728?

We can find the highest common divisor of 475, 644, 721, 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 475, 644, 721, 728 i.e 1.

3. How can I use the GCD of 475, 644, 721, 728Calculator?

Out the numbers 475, 644, 721, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.