GCD of 343, 144, 24, 795 Calculator

Given Input numbers are 343, 144, 24, 795

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

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 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 343, 144, 24, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 144, 24, 795 is 1.

Therefore, GCD of numbers 343, 144, 24, 795 is 1

Given Input Data is 343, 144, 24, 795

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

Prime Factorization of 343 is 7 x 7 x 7

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 795 is 3 x 5 x 53

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(343, 144) = 49392

GCD(343, 144) = ( 343 x 144 ) / 49392

GCD(343, 144) = 49392 / 49392

GCD(343, 144) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

GCD of 343, 144, 24, 795 is 1

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1. What is the GCD of 343, 144, 24, 795?

GCD of 343, 144, 24, 795 is 1

2. Where do I get the detailed procedure to find GCD of 343, 144, 24, 795?

You can find a detailed procedure to find GCD of 343, 144, 24, 795 on our page.

3. How to find GCD of 343, 144, 24, 795 on a calculator?

You can find the GCD of 343, 144, 24, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.