GCD of 105, 994, 292 Calculator

Given Input numbers are 105, 994, 292

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 105, 994, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 994, 292 is 1.

Therefore, GCD of numbers 105, 994, 292 is 1

Given Input Data is 105, 994, 292

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 292 is 2 x 2 x 73

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(105, 994) = 14910

GCD(105, 994) = ( 105 x 994 ) / 14910

GCD(105, 994) = 104370 / 14910

GCD(105, 994) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 292

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

LCM(7, 292) = 2044

GCD(7, 292) = ( 7 x 292 ) / 2044

GCD(7, 292) = 2044 / 2044

GCD(7, 292) = 1

GCD of 105, 994, 292 is 1

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1. What is the GCD of 105, 994, 292?

GCD of 105, 994, 292 is 1

2. Where do I get the detailed procedure to find GCD of 105, 994, 292?

You can find a detailed procedure to find GCD of 105, 994, 292 on our page.

3. How to find GCD of 105, 994, 292 on a calculator?

You can find the GCD of 105, 994, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.