GCD of 550, 570, 725, 728 Calculator

Given Input numbers are 550, 570, 725, 728

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

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 (550, 570, 725, 728) = 1.

Given numbers are 550, 570, 725, 728

The list of prime factors of all numbers are

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 725 are 5 x 5 x 29

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 550, 570, 725, 728

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

Apply this formula for all numbers.

Step1:

LCM(550, 570) = 31350

GCD(550, 570) = ( 550 x 570 ) / 31350

= 550 / 570

= 550

Step2:

LCM(10, 725) = 1450

GCD(10, 725) = ( 10 x 725 ) / 1450

= 10 / 725

= 10

Step3:

LCM(5, 728) = 3640

GCD(5, 728) = ( 5 x 728 ) / 3640

= 5 / 728

= 5

So, Greatest Common Divisor of 550, 570, 725, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 105, 762, 374
• GCD of 942, 368, 396, 447
• GCD of 664, 514, 193, 226
• GCD of 287, 960, 397, 299
• GCD of 715, 153, 642, 538

Given numbers are 550, 570, 725, 728
The greatest common divisor of numbers 550, 570, 725, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 570, 725, 728 is 1.

1. What is the GCD of 550, 570, 725, 728?

GCD of given numbers 550, 570, 725, 728 is 1

2. How to calculate the greatest common divisor of 550, 570, 725, 728?

We can find the highest common divisor of 550, 570, 725, 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 550, 570, 725, 728 i.e 1.

3. How can I use the GCD of 550, 570, 725, 728Calculator?

Out the numbers 550, 570, 725, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.