GCD of 133, 784, 83, 849 Calculator

Given Input numbers are 133, 784, 83, 849

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 133, 784, 83, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 784, 83, 849 is 1.

Therefore, GCD of numbers 133, 784, 83, 849 is 1

Given Input Data is 133, 784, 83, 849

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 83 is 83

Prime Factorization of 849 is 3 x 283

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, 784) = 14896

GCD(133, 784) = ( 133 x 784 ) / 14896

GCD(133, 784) = 104272 / 14896

GCD(133, 784) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 83

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

LCM(7, 83) = 581

GCD(7, 83) = ( 7 x 83 ) / 581

GCD(7, 83) = 581 / 581

GCD(7, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 133, 784, 83, 849 is 1

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• GCD of 899, 296, 19, 953
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1. What is the GCD of 133, 784, 83, 849?

GCD of 133, 784, 83, 849 is 1

2. Where do I get the detailed procedure to find GCD of 133, 784, 83, 849?

You can find a detailed procedure to find GCD of 133, 784, 83, 849 on our page.

3. How to find GCD of 133, 784, 83, 849 on a calculator?

You can find the GCD of 133, 784, 83, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.