GCD of 562, 641, 14, 300 Calculator

Given Input numbers are 562, 641, 14, 300

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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

Greatest Common Divisior

We found the divisors of 562, 641, 14, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 641, 14, 300 is 1.

Therefore, GCD of numbers 562, 641, 14, 300 is 1

Given Input Data is 562, 641, 14, 300

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 641 is 641

Prime Factorization of 14 is 2 x 7

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

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(562, 641) = 360242

GCD(562, 641) = ( 562 x 641 ) / 360242

GCD(562, 641) = 360242 / 360242

GCD(562, 641) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 562, 641, 14, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 283, 81, 697
• GCD of 996, 206, 42, 513
• GCD of 764, 831, 41, 457
• GCD of 691, 906, 86, 295
• GCD of 600, 850, 51, 395

1. What is the GCD of 562, 641, 14, 300?

GCD of 562, 641, 14, 300 is 1

2. Where do I get the detailed procedure to find GCD of 562, 641, 14, 300?

You can find a detailed procedure to find GCD of 562, 641, 14, 300 on our page.

3. How to find GCD of 562, 641, 14, 300 on a calculator?

You can find the GCD of 562, 641, 14, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.