GCD of 116, 896, 34, 813 Calculator

Given Input numbers are 116, 896, 34, 813

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 116, 896, 34, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 896, 34, 813 is 1.

Therefore, GCD of numbers 116, 896, 34, 813 is 1

Given Input Data is 116, 896, 34, 813

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 34 is 2 x 17

Prime Factorization of 813 is 3 x 271

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(116, 896) = 25984

GCD(116, 896) = ( 116 x 896 ) / 25984

GCD(116, 896) = 103936 / 25984

GCD(116, 896) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 34

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

LCM(4, 34) = 68

GCD(4, 34) = ( 4 x 34 ) / 68

GCD(4, 34) = 136 / 68

GCD(4, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 813

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

LCM(2, 813) = 1626

GCD(2, 813) = ( 2 x 813 ) / 1626

GCD(2, 813) = 1626 / 1626

GCD(2, 813) = 1

GCD of 116, 896, 34, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 919, 97, 100
• GCD of 441, 567, 42, 265
• GCD of 877, 234, 26, 434
• GCD of 724, 444, 57, 755
• GCD of 427, 243, 80, 798

1. What is the GCD of 116, 896, 34, 813?

GCD of 116, 896, 34, 813 is 1

2. Where do I get the detailed procedure to find GCD of 116, 896, 34, 813?

You can find a detailed procedure to find GCD of 116, 896, 34, 813 on our page.

3. How to find GCD of 116, 896, 34, 813 on a calculator?

You can find the GCD of 116, 896, 34, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.