GCD of 354, 358, 994 Calculator

Given Input numbers are 354, 358, 994

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 994

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

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

Greatest Common Divisior

We found the divisors of 354, 358, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 358, 994 is 2.

Therefore, GCD of numbers 354, 358, 994 is 2

Given Input Data is 354, 358, 994

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 358 is 2 x 179

Prime Factorization of 994 is 2 x 7 x 71

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(354, 358) = 63366

GCD(354, 358) = ( 354 x 358 ) / 63366

GCD(354, 358) = 126732 / 63366

GCD(354, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 994

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

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

GCD(2, 994) = 1988 / 994

GCD(2, 994) = 2

GCD of 354, 358, 994 is 2

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• GCD of 806, 988, 972
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1. What is the GCD of 354, 358, 994?

GCD of 354, 358, 994 is 2

2. Where do I get the detailed procedure to find GCD of 354, 358, 994?

You can find a detailed procedure to find GCD of 354, 358, 994 on our page.

3. How to find GCD of 354, 358, 994 on a calculator?

You can find the GCD of 354, 358, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.