GCD of 908, 949, 300, 217 Calculator

Given Input numbers are 908, 949, 300, 217

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 908, 949, 300, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 949, 300, 217 is 1.

Therefore, GCD of numbers 908, 949, 300, 217 is 1

Given Input Data is 908, 949, 300, 217

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 949 is 13 x 73

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

Prime Factorization of 217 is 7 x 31

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(908, 949) = 861692

GCD(908, 949) = ( 908 x 949 ) / 861692

GCD(908, 949) = 861692 / 861692

GCD(908, 949) = 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 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 908, 949, 300, 217 is 1

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• GCD of 183, 553, 745, 107
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1. What is the GCD of 908, 949, 300, 217?

GCD of 908, 949, 300, 217 is 1

2. Where do I get the detailed procedure to find GCD of 908, 949, 300, 217?

You can find a detailed procedure to find GCD of 908, 949, 300, 217 on our page.

3. How to find GCD of 908, 949, 300, 217 on a calculator?

You can find the GCD of 908, 949, 300, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.