GCD of 300, 771, 19, 950 Calculator

Given Input numbers are 300, 771, 19, 950

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Greatest Common Divisior

We found the divisors of 300, 771, 19, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 771, 19, 950 is 1.

Therefore, GCD of numbers 300, 771, 19, 950 is 1

Given Input Data is 300, 771, 19, 950

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 771 is 3 x 257

Prime Factorization of 19 is 19

Prime Factorization of 950 is 2 x 5 x 5 x 19

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, 771) = 77100

GCD(300, 771) = ( 300 x 771 ) / 77100

GCD(300, 771) = 231300 / 77100

GCD(300, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 19

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

LCM(3, 19) = 57

GCD(3, 19) = ( 3 x 19 ) / 57

GCD(3, 19) = 57 / 57

GCD(3, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 950

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

LCM(1, 950) = 950

GCD(1, 950) = ( 1 x 950 ) / 950

GCD(1, 950) = 950 / 950

GCD(1, 950) = 1

GCD of 300, 771, 19, 950 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 467, 94, 752
• GCD of 889, 969, 69, 837
• GCD of 435, 570, 41, 968
• GCD of 273, 658, 49, 407
• GCD of 233, 414, 79, 891

1. What is the GCD of 300, 771, 19, 950?

GCD of 300, 771, 19, 950 is 1

2. Where do I get the detailed procedure to find GCD of 300, 771, 19, 950?

You can find a detailed procedure to find GCD of 300, 771, 19, 950 on our page.

3. How to find GCD of 300, 771, 19, 950 on a calculator?

You can find the GCD of 300, 771, 19, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.