GCD of 728, 706, 632, 369 Calculator

Given Input numbers are 728, 706, 632, 369

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 728, 706, 632, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 706, 632, 369 is 1.

Therefore, GCD of numbers 728, 706, 632, 369 is 1

Given Input Data is 728, 706, 632, 369

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 706 is 2 x 353

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 369 is 3 x 3 x 41

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(728, 706) = 256984

GCD(728, 706) = ( 728 x 706 ) / 256984

GCD(728, 706) = 513968 / 256984

GCD(728, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 369

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

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

GCD(2, 369) = 738 / 738

GCD(2, 369) = 1

GCD of 728, 706, 632, 369 is 1

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1. What is the GCD of 728, 706, 632, 369?

GCD of 728, 706, 632, 369 is 1

2. Where do I get the detailed procedure to find GCD of 728, 706, 632, 369?

You can find a detailed procedure to find GCD of 728, 706, 632, 369 on our page.

3. How to find GCD of 728, 706, 632, 369 on a calculator?

You can find the GCD of 728, 706, 632, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.