GCD of 811, 312, 120, 114 Calculator

Given Input numbers are 811, 312, 120, 114

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

Divisors of 811

List of positive integer divisors of 811 that divides 811 without a remainder.

1, 811

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 811, 312, 120, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 811, 312, 120, 114 is 1.

Therefore, GCD of numbers 811, 312, 120, 114 is 1

Given Input Data is 811, 312, 120, 114

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

Prime Factorization of 811 is 811

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 114 is 2 x 3 x 19

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(811, 312) = 253032

GCD(811, 312) = ( 811 x 312 ) / 253032

GCD(811, 312) = 253032 / 253032

GCD(811, 312) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 811, 312, 120, 114 is 1

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• GCD of 221, 283, 104, 197
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1. What is the GCD of 811, 312, 120, 114?

GCD of 811, 312, 120, 114 is 1

2. Where do I get the detailed procedure to find GCD of 811, 312, 120, 114?

You can find a detailed procedure to find GCD of 811, 312, 120, 114 on our page.

3. How to find GCD of 811, 312, 120, 114 on a calculator?

You can find the GCD of 811, 312, 120, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.