GCD of 723, 685, 550, 763 Calculator

Given Input numbers are 723, 685, 550, 763

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 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

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

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 723, 685, 550, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 685, 550, 763 is 1.

Therefore, GCD of numbers 723, 685, 550, 763 is 1

Given Input Data is 723, 685, 550, 763

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 685 is 5 x 137

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

Prime Factorization of 763 is 7 x 109

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, 685) = 495255

GCD(723, 685) = ( 723 x 685 ) / 495255

GCD(723, 685) = 495255 / 495255

GCD(723, 685) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 723, 685, 550, 763 is 1

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1. What is the GCD of 723, 685, 550, 763?

GCD of 723, 685, 550, 763 is 1

2. Where do I get the detailed procedure to find GCD of 723, 685, 550, 763?

You can find a detailed procedure to find GCD of 723, 685, 550, 763 on our page.

3. How to find GCD of 723, 685, 550, 763 on a calculator?

You can find the GCD of 723, 685, 550, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.