GCD of 300, 318, 65, 919 Calculator

Given Input numbers are 300, 318, 65, 919

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

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 318

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

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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 300, 318, 65, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 318, 65, 919 is 1.

Therefore, GCD of numbers 300, 318, 65, 919 is 1

Given Input Data is 300, 318, 65, 919

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

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 65 is 5 x 13

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(300, 318) = 15900

GCD(300, 318) = ( 300 x 318 ) / 15900

GCD(300, 318) = 95400 / 15900

GCD(300, 318) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 65

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

LCM(6, 65) = 390

GCD(6, 65) = ( 6 x 65 ) / 390

GCD(6, 65) = 390 / 390

GCD(6, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

GCD of 300, 318, 65, 919 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 598, 31, 133
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• GCD of 754, 470, 55, 990
• GCD of 220, 443, 85, 936
• GCD of 214, 273, 44, 236

1. What is the GCD of 300, 318, 65, 919?

GCD of 300, 318, 65, 919 is 1

2. Where do I get the detailed procedure to find GCD of 300, 318, 65, 919?

You can find a detailed procedure to find GCD of 300, 318, 65, 919 on our page.

3. How to find GCD of 300, 318, 65, 919 on a calculator?

You can find the GCD of 300, 318, 65, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.