GCD of 100, 810, 96, 935 Calculator

Given Input numbers are 100, 810, 96, 935

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Greatest Common Divisior

We found the divisors of 100, 810, 96, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 810, 96, 935 is 1.

Therefore, GCD of numbers 100, 810, 96, 935 is 1

Given Input Data is 100, 810, 96, 935

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

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

Prime Factorization of 935 is 5 x 11 x 17

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(100, 810) = 8100

GCD(100, 810) = ( 100 x 810 ) / 8100

GCD(100, 810) = 81000 / 8100

GCD(100, 810) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 96

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

LCM(10, 96) = 480

GCD(10, 96) = ( 10 x 96 ) / 480

GCD(10, 96) = 960 / 480

GCD(10, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 935

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

LCM(2, 935) = 1870

GCD(2, 935) = ( 2 x 935 ) / 1870

GCD(2, 935) = 1870 / 1870

GCD(2, 935) = 1

GCD of 100, 810, 96, 935 is 1

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1. What is the GCD of 100, 810, 96, 935?

GCD of 100, 810, 96, 935 is 1

2. Where do I get the detailed procedure to find GCD of 100, 810, 96, 935?

You can find a detailed procedure to find GCD of 100, 810, 96, 935 on our page.

3. How to find GCD of 100, 810, 96, 935 on a calculator?

You can find the GCD of 100, 810, 96, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.