GCD of 561, 196, 300, 367 Calculator

Given Input numbers are 561, 196, 300, 367

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 561, 196, 300, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 196, 300, 367 is 1.

Therefore, GCD of numbers 561, 196, 300, 367 is 1

Given Input Data is 561, 196, 300, 367

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 196 is 2 x 2 x 7 x 7

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

Prime Factorization of 367 is 367

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(561, 196) = 109956

GCD(561, 196) = ( 561 x 196 ) / 109956

GCD(561, 196) = 109956 / 109956

GCD(561, 196) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 561, 196, 300, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 766, 372, 559
• GCD of 208, 405, 223, 156
• GCD of 207, 178, 137, 581
• GCD of 965, 111, 176, 750
• GCD of 864, 524, 999, 250

1. What is the GCD of 561, 196, 300, 367?

GCD of 561, 196, 300, 367 is 1

2. Where do I get the detailed procedure to find GCD of 561, 196, 300, 367?

You can find a detailed procedure to find GCD of 561, 196, 300, 367 on our page.

3. How to find GCD of 561, 196, 300, 367 on a calculator?

You can find the GCD of 561, 196, 300, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.