GCD of 723, 765, 44, 550 Calculator

Given Input numbers are 723, 765, 44, 550

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

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

Greatest Common Divisior

We found the divisors of 723, 765, 44, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 765, 44, 550 is 1.

Therefore, GCD of numbers 723, 765, 44, 550 is 1

Given Input Data is 723, 765, 44, 550

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 723 is 3 x 241

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 550 is 2 x 5 x 5 x 11

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(723, 765) = 184365

GCD(723, 765) = ( 723 x 765 ) / 184365

GCD(723, 765) = 553095 / 184365

GCD(723, 765) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 44

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

LCM(3, 44) = 132

GCD(3, 44) = ( 3 x 44 ) / 132

GCD(3, 44) = 132 / 132

GCD(3, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 723, 765, 44, 550 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 428, 21, 753
• GCD of 338, 709, 81, 731
• GCD of 940, 695, 57, 870
• GCD of 169, 321, 98, 458
• GCD of 289, 609, 30, 555

1. What is the GCD of 723, 765, 44, 550?

GCD of 723, 765, 44, 550 is 1

2. Where do I get the detailed procedure to find GCD of 723, 765, 44, 550?

You can find a detailed procedure to find GCD of 723, 765, 44, 550 on our page.

3. How to find GCD of 723, 765, 44, 550 on a calculator?

You can find the GCD of 723, 765, 44, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.