GCD of 367, 785, 318, 144 Calculator

Given Input numbers are 367, 785, 318, 144

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

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

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 367, 785, 318, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 785, 318, 144 is 1.

Therefore, GCD of numbers 367, 785, 318, 144 is 1

Given Input Data is 367, 785, 318, 144

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

Prime Factorization of 367 is 367

Prime Factorization of 785 is 5 x 157

Prime Factorization of 318 is 2 x 3 x 53

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(367, 785) = 288095

GCD(367, 785) = ( 367 x 785 ) / 288095

GCD(367, 785) = 288095 / 288095

GCD(367, 785) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 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 367, 785, 318, 144 is 1

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1. What is the GCD of 367, 785, 318, 144?

GCD of 367, 785, 318, 144 is 1

2. Where do I get the detailed procedure to find GCD of 367, 785, 318, 144?

You can find a detailed procedure to find GCD of 367, 785, 318, 144 on our page.

3. How to find GCD of 367, 785, 318, 144 on a calculator?

You can find the GCD of 367, 785, 318, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.