GCD of 311, 869, 46, 144 Calculator

Given Input numbers are 311, 869, 46, 144

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 311, 869, 46, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 869, 46, 144 is 1.

Therefore, GCD of numbers 311, 869, 46, 144 is 1

Given Input Data is 311, 869, 46, 144

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

Prime Factorization of 311 is 311

Prime Factorization of 869 is 11 x 79

Prime Factorization of 46 is 2 x 23

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(311, 869) = 270259

GCD(311, 869) = ( 311 x 869 ) / 270259

GCD(311, 869) = 270259 / 270259

GCD(311, 869) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 311, 869, 46, 144 is 1

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• GCD of 791, 942, 95, 859
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• GCD of 837, 933, 23, 680

1. What is the GCD of 311, 869, 46, 144?

GCD of 311, 869, 46, 144 is 1

2. Where do I get the detailed procedure to find GCD of 311, 869, 46, 144?

You can find a detailed procedure to find GCD of 311, 869, 46, 144 on our page.

3. How to find GCD of 311, 869, 46, 144 on a calculator?

You can find the GCD of 311, 869, 46, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.