GCD of 300, 197, 415, 686 Calculator

Given Input numbers are 300, 197, 415, 686

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 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 300, 197, 415, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 197, 415, 686 is 1.

Therefore, GCD of numbers 300, 197, 415, 686 is 1

Given Input Data is 300, 197, 415, 686

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 197 is 197

Prime Factorization of 415 is 5 x 83

Prime Factorization of 686 is 2 x 7 x 7 x 7

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, 197) = 59100

GCD(300, 197) = ( 300 x 197 ) / 59100

GCD(300, 197) = 59100 / 59100

GCD(300, 197) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 300, 197, 415, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 901, 469, 783
• GCD of 324, 637, 479, 260
• GCD of 762, 513, 485, 631
• GCD of 555, 352, 182, 783
• GCD of 910, 868, 651, 478

1. What is the GCD of 300, 197, 415, 686?

GCD of 300, 197, 415, 686 is 1

2. Where do I get the detailed procedure to find GCD of 300, 197, 415, 686?

You can find a detailed procedure to find GCD of 300, 197, 415, 686 on our page.

3. How to find GCD of 300, 197, 415, 686 on a calculator?

You can find the GCD of 300, 197, 415, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.