GCD of 53, 364, 925, 728 Calculator

Given Input numbers are 53, 364, 925, 728

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

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

Greatest Common Divisior

We found the divisors of 53, 364, 925, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 364, 925, 728 is 1.

Therefore, GCD of numbers 53, 364, 925, 728 is 1

Given Input Data is 53, 364, 925, 728

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

Prime Factorization of 53 is 53

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 925 is 5 x 5 x 37

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

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(53, 364) = 19292

GCD(53, 364) = ( 53 x 364 ) / 19292

GCD(53, 364) = 19292 / 19292

GCD(53, 364) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 53, 364, 925, 728 is 1

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1. What is the GCD of 53, 364, 925, 728?

GCD of 53, 364, 925, 728 is 1

2. Where do I get the detailed procedure to find GCD of 53, 364, 925, 728?

You can find a detailed procedure to find GCD of 53, 364, 925, 728 on our page.

3. How to find GCD of 53, 364, 925, 728 on a calculator?

You can find the GCD of 53, 364, 925, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.