GCD of 344, 300, 660, 919 Calculator

Given Input numbers are 344, 300, 660, 919

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 344, 300, 660, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 300, 660, 919 is 1.

Therefore, GCD of numbers 344, 300, 660, 919 is 1

Given Input Data is 344, 300, 660, 919

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 919 is 919

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(344, 300) = 25800

GCD(344, 300) = ( 344 x 300 ) / 25800

GCD(344, 300) = 103200 / 25800

GCD(344, 300) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 660

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

LCM(4, 660) = 660

GCD(4, 660) = ( 4 x 660 ) / 660

GCD(4, 660) = 2640 / 660

GCD(4, 660) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 919

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

LCM(4, 919) = 3676

GCD(4, 919) = ( 4 x 919 ) / 3676

GCD(4, 919) = 3676 / 3676

GCD(4, 919) = 1

GCD of 344, 300, 660, 919 is 1

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1. What is the GCD of 344, 300, 660, 919?

GCD of 344, 300, 660, 919 is 1

2. Where do I get the detailed procedure to find GCD of 344, 300, 660, 919?

You can find a detailed procedure to find GCD of 344, 300, 660, 919 on our page.

3. How to find GCD of 344, 300, 660, 919 on a calculator?

You can find the GCD of 344, 300, 660, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.