GCD of 116, 112, 270, 833 Calculator

Given Input numbers are 116, 112, 270, 833

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 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

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

Divisors of 833

List of positive integer divisors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Greatest Common Divisior

We found the divisors of 116, 112, 270, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 112, 270, 833 is 1.

Therefore, GCD of numbers 116, 112, 270, 833 is 1

Given Input Data is 116, 112, 270, 833

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 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 833 is 7 x 7 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(116, 112) = 3248

GCD(116, 112) = ( 116 x 112 ) / 3248

GCD(116, 112) = 12992 / 3248

GCD(116, 112) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 270

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

LCM(4, 270) = 540

GCD(4, 270) = ( 4 x 270 ) / 540

GCD(4, 270) = 1080 / 540

GCD(4, 270) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 833

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

LCM(2, 833) = 1666

GCD(2, 833) = ( 2 x 833 ) / 1666

GCD(2, 833) = 1666 / 1666

GCD(2, 833) = 1

GCD of 116, 112, 270, 833 is 1

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1. What is the GCD of 116, 112, 270, 833?

GCD of 116, 112, 270, 833 is 1

2. Where do I get the detailed procedure to find GCD of 116, 112, 270, 833?

You can find a detailed procedure to find GCD of 116, 112, 270, 833 on our page.

3. How to find GCD of 116, 112, 270, 833 on a calculator?

You can find the GCD of 116, 112, 270, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.