GCD of 133, 693, 49, 249 Calculator

Given Input numbers are 133, 693, 49, 249

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 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 49

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

1, 7, 49

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 133, 693, 49, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 693, 49, 249 is 1.

Therefore, GCD of numbers 133, 693, 49, 249 is 1

Given Input Data is 133, 693, 49, 249

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 49 is 7 x 7

Prime Factorization of 249 is 3 x 83

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, 693) = 13167

GCD(133, 693) = ( 133 x 693 ) / 13167

GCD(133, 693) = 92169 / 13167

GCD(133, 693) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 49

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

LCM(7, 49) = 49

GCD(7, 49) = ( 7 x 49 ) / 49

GCD(7, 49) = 343 / 49

GCD(7, 49) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 249

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

LCM(7, 249) = 1743

GCD(7, 249) = ( 7 x 249 ) / 1743

GCD(7, 249) = 1743 / 1743

GCD(7, 249) = 1

GCD of 133, 693, 49, 249 is 1

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• GCD of 369, 800, 52, 955
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1. What is the GCD of 133, 693, 49, 249?

GCD of 133, 693, 49, 249 is 1

2. Where do I get the detailed procedure to find GCD of 133, 693, 49, 249?

You can find a detailed procedure to find GCD of 133, 693, 49, 249 on our page.

3. How to find GCD of 133, 693, 49, 249 on a calculator?

You can find the GCD of 133, 693, 49, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.