GCD of 300, 126, 695, 398 Calculator

Given Input numbers are 300, 126, 695, 398

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 300, 126, 695, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 126, 695, 398 is 1.

Therefore, GCD of numbers 300, 126, 695, 398 is 1

Given Input Data is 300, 126, 695, 398

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 126 is 2 x 3 x 3 x 7

Prime Factorization of 695 is 5 x 139

Prime Factorization of 398 is 2 x 199

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, 126) = 6300

GCD(300, 126) = ( 300 x 126 ) / 6300

GCD(300, 126) = 37800 / 6300

GCD(300, 126) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 695

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

LCM(6, 695) = 4170

GCD(6, 695) = ( 6 x 695 ) / 4170

GCD(6, 695) = 4170 / 4170

GCD(6, 695) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 300, 126, 695, 398 is 1

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1. What is the GCD of 300, 126, 695, 398?

GCD of 300, 126, 695, 398 is 1

2. Where do I get the detailed procedure to find GCD of 300, 126, 695, 398?

You can find a detailed procedure to find GCD of 300, 126, 695, 398 on our page.

3. How to find GCD of 300, 126, 695, 398 on a calculator?

You can find the GCD of 300, 126, 695, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.