GCD of 959, 300, 10, 344 Calculator

Given Input numbers are 959, 300, 10, 344

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

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 344

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

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

Greatest Common Divisior

We found the divisors of 959, 300, 10, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 300, 10, 344 is 1.

Therefore, GCD of numbers 959, 300, 10, 344 is 1

Given Input Data is 959, 300, 10, 344

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

Prime Factorization of 959 is 7 x 137

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

Prime Factorization of 10 is 2 x 5

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

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(959, 300) = 287700

GCD(959, 300) = ( 959 x 300 ) / 287700

GCD(959, 300) = 287700 / 287700

GCD(959, 300) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 959, 300, 10, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 756, 72, 166
• GCD of 445, 621, 99, 144
• GCD of 312, 802, 31, 511
• GCD of 228, 154, 14, 250
• GCD of 982, 763, 83, 216

1. What is the GCD of 959, 300, 10, 344?

GCD of 959, 300, 10, 344 is 1

2. Where do I get the detailed procedure to find GCD of 959, 300, 10, 344?

You can find a detailed procedure to find GCD of 959, 300, 10, 344 on our page.

3. How to find GCD of 959, 300, 10, 344 on a calculator?

You can find the GCD of 959, 300, 10, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.