GCD of 937, 524, 96, 728 Calculator

Given Input numbers are 937, 524, 96, 728

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

Divisors of 937

List of positive integer divisors of 937 that divides 937 without a remainder.

1, 937

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 937, 524, 96, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 937, 524, 96, 728 is 1.

Therefore, GCD of numbers 937, 524, 96, 728 is 1

Given Input Data is 937, 524, 96, 728

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

Prime Factorization of 937 is 937

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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(937, 524) = 490988

GCD(937, 524) = ( 937 x 524 ) / 490988

GCD(937, 524) = 490988 / 490988

GCD(937, 524) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 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 937, 524, 96, 728 is 1

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1. What is the GCD of 937, 524, 96, 728?

GCD of 937, 524, 96, 728 is 1

2. Where do I get the detailed procedure to find GCD of 937, 524, 96, 728?

You can find a detailed procedure to find GCD of 937, 524, 96, 728 on our page.

3. How to find GCD of 937, 524, 96, 728 on a calculator?

You can find the GCD of 937, 524, 96, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.