GCD of 554, 394, 958 Calculator

Given Input numbers are 554, 394, 958

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

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 554, 394, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 394, 958 is 2.

Therefore, GCD of numbers 554, 394, 958 is 2

Given Input Data is 554, 394, 958

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 394 is 2 x 197

Prime Factorization of 958 is 2 x 479

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(554, 394) = 109138

GCD(554, 394) = ( 554 x 394 ) / 109138

GCD(554, 394) = 218276 / 109138

GCD(554, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 958

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

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

GCD(2, 958) = 1916 / 958

GCD(2, 958) = 2

GCD of 554, 394, 958 is 2

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1. What is the GCD of 554, 394, 958?

GCD of 554, 394, 958 is 2

2. Where do I get the detailed procedure to find GCD of 554, 394, 958?

You can find a detailed procedure to find GCD of 554, 394, 958 on our page.

3. How to find GCD of 554, 394, 958 on a calculator?

You can find the GCD of 554, 394, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.