GCD of 728, 738, 565, 411 Calculator

Given Input numbers are 728, 738, 565, 411

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 728, 738, 565, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 738, 565, 411 is 1.

Therefore, GCD of numbers 728, 738, 565, 411 is 1

Given Input Data is 728, 738, 565, 411

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 738 is 2 x 3 x 3 x 41

Prime Factorization of 565 is 5 x 113

Prime Factorization of 411 is 3 x 137

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, 738) = 268632

GCD(728, 738) = ( 728 x 738 ) / 268632

GCD(728, 738) = 537264 / 268632

GCD(728, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 565

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

LCM(2, 565) = 1130

GCD(2, 565) = ( 2 x 565 ) / 1130

GCD(2, 565) = 1130 / 1130

GCD(2, 565) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 411

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

LCM(1, 411) = 411

GCD(1, 411) = ( 1 x 411 ) / 411

GCD(1, 411) = 411 / 411

GCD(1, 411) = 1

GCD of 728, 738, 565, 411 is 1

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• GCD of 359, 434, 377, 143
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1. What is the GCD of 728, 738, 565, 411?

GCD of 728, 738, 565, 411 is 1

2. Where do I get the detailed procedure to find GCD of 728, 738, 565, 411?

You can find a detailed procedure to find GCD of 728, 738, 565, 411 on our page.

3. How to find GCD of 728, 738, 565, 411 on a calculator?

You can find the GCD of 728, 738, 565, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.