GCD of 954, 386, 292 Calculator

Given Input numbers are 954, 386, 292

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

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 954, 386, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 386, 292 is 2.

Therefore, GCD of numbers 954, 386, 292 is 2

Given Input Data is 954, 386, 292

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 386 is 2 x 193

Prime Factorization of 292 is 2 x 2 x 73

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(954, 386) = 184122

GCD(954, 386) = ( 954 x 386 ) / 184122

GCD(954, 386) = 368244 / 184122

GCD(954, 386) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 292

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

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

GCD(2, 292) = 584 / 292

GCD(2, 292) = 2

GCD of 954, 386, 292 is 2

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1. What is the GCD of 954, 386, 292?

GCD of 954, 386, 292 is 2

2. Where do I get the detailed procedure to find GCD of 954, 386, 292?

You can find a detailed procedure to find GCD of 954, 386, 292 on our page.

3. How to find GCD of 954, 386, 292 on a calculator?

You can find the GCD of 954, 386, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.