GCD of 144, 305, 858, 823 Calculator

Given Input numbers are 144, 305, 858, 823

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

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 144, 305, 858, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 305, 858, 823 is 1.

Therefore, GCD of numbers 144, 305, 858, 823 is 1

Given Input Data is 144, 305, 858, 823

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

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 823 is 823

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(144, 305) = 43920

GCD(144, 305) = ( 144 x 305 ) / 43920

GCD(144, 305) = 43920 / 43920

GCD(144, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 144, 305, 858, 823 is 1

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1. What is the GCD of 144, 305, 858, 823?

GCD of 144, 305, 858, 823 is 1

2. Where do I get the detailed procedure to find GCD of 144, 305, 858, 823?

You can find a detailed procedure to find GCD of 144, 305, 858, 823 on our page.

3. How to find GCD of 144, 305, 858, 823 on a calculator?

You can find the GCD of 144, 305, 858, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.