GCD of 827, 728, 521, 450 Calculator

Given Input numbers are 827, 728, 521, 450

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

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 521

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

1, 521

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 827, 728, 521, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 728, 521, 450 is 1.

Therefore, GCD of numbers 827, 728, 521, 450 is 1

Given Input Data is 827, 728, 521, 450

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

Prime Factorization of 827 is 827

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

Prime Factorization of 521 is 521

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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(827, 728) = 602056

GCD(827, 728) = ( 827 x 728 ) / 602056

GCD(827, 728) = 602056 / 602056

GCD(827, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 827, 728, 521, 450 is 1

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• GCD of 498, 885, 750, 327
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• GCD of 377, 641, 124, 999

1. What is the GCD of 827, 728, 521, 450?

GCD of 827, 728, 521, 450 is 1

2. Where do I get the detailed procedure to find GCD of 827, 728, 521, 450?

You can find a detailed procedure to find GCD of 827, 728, 521, 450 on our page.

3. How to find GCD of 827, 728, 521, 450 on a calculator?

You can find the GCD of 827, 728, 521, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.