GCD of 630, 722, 521, 723 Calculator

Given Input numbers are 630, 722, 521, 723

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 723

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

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 630, 722, 521, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 722, 521, 723 is 1.

Therefore, GCD of numbers 630, 722, 521, 723 is 1

Given Input Data is 630, 722, 521, 723

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 521 is 521

Prime Factorization of 723 is 3 x 241

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(630, 722) = 227430

GCD(630, 722) = ( 630 x 722 ) / 227430

GCD(630, 722) = 454860 / 227430

GCD(630, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 521

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

LCM(2, 521) = 1042

GCD(2, 521) = ( 2 x 521 ) / 1042

GCD(2, 521) = 1042 / 1042

GCD(2, 521) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 630, 722, 521, 723 is 1

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1. What is the GCD of 630, 722, 521, 723?

GCD of 630, 722, 521, 723 is 1

2. Where do I get the detailed procedure to find GCD of 630, 722, 521, 723?

You can find a detailed procedure to find GCD of 630, 722, 521, 723 on our page.

3. How to find GCD of 630, 722, 521, 723 on a calculator?

You can find the GCD of 630, 722, 521, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.