GCD of 674, 186, 54, 394 Calculator

Given Input numbers are 674, 186, 54, 394

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 394

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

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 674, 186, 54, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 186, 54, 394 is 2.

Therefore, GCD of numbers 674, 186, 54, 394 is 2

Given Input Data is 674, 186, 54, 394

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 394 is 2 x 197

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(674, 186) = 62682

GCD(674, 186) = ( 674 x 186 ) / 62682

GCD(674, 186) = 125364 / 62682

GCD(674, 186) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 394

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

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

GCD(2, 394) = 788 / 394

GCD(2, 394) = 2

GCD of 674, 186, 54, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 607, 59, 536
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• GCD of 471, 489, 55, 326
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1. What is the GCD of 674, 186, 54, 394?

GCD of 674, 186, 54, 394 is 2

2. Where do I get the detailed procedure to find GCD of 674, 186, 54, 394?

You can find a detailed procedure to find GCD of 674, 186, 54, 394 on our page.

3. How to find GCD of 674, 186, 54, 394 on a calculator?

You can find the GCD of 674, 186, 54, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.