GCD of 133, 949, 49, 300 Calculator

Given Input numbers are 133, 949, 49, 300

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 949

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

1, 13, 73, 949

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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 133, 949, 49, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 949, 49, 300 is 1.

Therefore, GCD of numbers 133, 949, 49, 300 is 1

Given Input Data is 133, 949, 49, 300

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 949 is 13 x 73

Prime Factorization of 49 is 7 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(133, 949) = 126217

GCD(133, 949) = ( 133 x 949 ) / 126217

GCD(133, 949) = 126217 / 126217

GCD(133, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 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 133, 949, 49, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 358, 59, 240
• GCD of 726, 742, 10, 302
• GCD of 765, 987, 23, 283
• GCD of 567, 427, 45, 525
• GCD of 550, 588, 82, 388

1. What is the GCD of 133, 949, 49, 300?

GCD of 133, 949, 49, 300 is 1

2. Where do I get the detailed procedure to find GCD of 133, 949, 49, 300?

You can find a detailed procedure to find GCD of 133, 949, 49, 300 on our page.

3. How to find GCD of 133, 949, 49, 300 on a calculator?

You can find the GCD of 133, 949, 49, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.