GCD of 96, 859, 748, 899 Calculator

Given Input numbers are 96, 859, 748, 899

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 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 96, 859, 748, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 859, 748, 899 is 1.

Therefore, GCD of numbers 96, 859, 748, 899 is 1

Given Input Data is 96, 859, 748, 899

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 859 is 859

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 899 is 29 x 31

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, 859) = 82464

GCD(96, 859) = ( 96 x 859 ) / 82464

GCD(96, 859) = 82464 / 82464

GCD(96, 859) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 96, 859, 748, 899 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 39, 609, 549, 824

1. What is the GCD of 96, 859, 748, 899?

GCD of 96, 859, 748, 899 is 1

2. Where do I get the detailed procedure to find GCD of 96, 859, 748, 899?

You can find a detailed procedure to find GCD of 96, 859, 748, 899 on our page.

3. How to find GCD of 96, 859, 748, 899 on a calculator?

You can find the GCD of 96, 859, 748, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.