GCD of 949, 936, 792, 849 Calculator

Given Input numbers are 949, 936, 792, 849

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

Divisors of 949

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

1, 13, 73, 949

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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 949, 936, 792, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 936, 792, 849 is 1.

Therefore, GCD of numbers 949, 936, 792, 849 is 1

Given Input Data is 949, 936, 792, 849

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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(949, 936) = 68328

GCD(949, 936) = ( 949 x 936 ) / 68328

GCD(949, 936) = 888264 / 68328

GCD(949, 936) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 792

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

LCM(13, 792) = 10296

GCD(13, 792) = ( 13 x 792 ) / 10296

GCD(13, 792) = 10296 / 10296

GCD(13, 792) = 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 949, 936, 792, 849 is 1

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1. What is the GCD of 949, 936, 792, 849?

GCD of 949, 936, 792, 849 is 1

2. Where do I get the detailed procedure to find GCD of 949, 936, 792, 849?

You can find a detailed procedure to find GCD of 949, 936, 792, 849 on our page.

3. How to find GCD of 949, 936, 792, 849 on a calculator?

You can find the GCD of 949, 936, 792, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.