GCD of 51, 728, 325, 892 Calculator

Given Input numbers are 51, 728, 325, 892

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 51, 728, 325, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 728, 325, 892 is 1.

Therefore, GCD of numbers 51, 728, 325, 892 is 1

Given Input Data is 51, 728, 325, 892

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

Prime Factorization of 51 is 3 x 17

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

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 892 is 2 x 2 x 223

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(51, 728) = 37128

GCD(51, 728) = ( 51 x 728 ) / 37128

GCD(51, 728) = 37128 / 37128

GCD(51, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 325

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

LCM(1, 325) = 325

GCD(1, 325) = ( 1 x 325 ) / 325

GCD(1, 325) = 325 / 325

GCD(1, 325) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 51, 728, 325, 892 is 1

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1. What is the GCD of 51, 728, 325, 892?

GCD of 51, 728, 325, 892 is 1

2. Where do I get the detailed procedure to find GCD of 51, 728, 325, 892?

You can find a detailed procedure to find GCD of 51, 728, 325, 892 on our page.

3. How to find GCD of 51, 728, 325, 892 on a calculator?

You can find the GCD of 51, 728, 325, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.