GCD of 96, 797, 900, 915 Calculator

Given Input numbers are 96, 797, 900, 915

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

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 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 96, 797, 900, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 797, 900, 915 is 1.

Therefore, GCD of numbers 96, 797, 900, 915 is 1

Given Input Data is 96, 797, 900, 915

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

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

Prime Factorization of 797 is 797

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 915 is 3 x 5 x 61

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(96, 797) = 76512

GCD(96, 797) = ( 96 x 797 ) / 76512

GCD(96, 797) = 76512 / 76512

GCD(96, 797) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

GCD of 96, 797, 900, 915 is 1

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1. What is the GCD of 96, 797, 900, 915?

GCD of 96, 797, 900, 915 is 1

2. Where do I get the detailed procedure to find GCD of 96, 797, 900, 915?

You can find a detailed procedure to find GCD of 96, 797, 900, 915 on our page.

3. How to find GCD of 96, 797, 900, 915 on a calculator?

You can find the GCD of 96, 797, 900, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.