GCD of 494, 674, 14, 356 Calculator

Given Input numbers are 494, 674, 14, 356

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 674

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

1, 2, 337, 674

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 494, 674, 14, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 674, 14, 356 is 2.

Therefore, GCD of numbers 494, 674, 14, 356 is 2

Given Input Data is 494, 674, 14, 356

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 674 is 2 x 337

Prime Factorization of 14 is 2 x 7

Prime Factorization of 356 is 2 x 2 x 89

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(494, 674) = 166478

GCD(494, 674) = ( 494 x 674 ) / 166478

GCD(494, 674) = 332956 / 166478

GCD(494, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 356

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

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

GCD(2, 356) = 712 / 356

GCD(2, 356) = 2

GCD of 494, 674, 14, 356 is 2

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• GCD of 820, 449, 87, 462
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• GCD of 596, 514, 93, 424

1. What is the GCD of 494, 674, 14, 356?

GCD of 494, 674, 14, 356 is 2

2. Where do I get the detailed procedure to find GCD of 494, 674, 14, 356?

You can find a detailed procedure to find GCD of 494, 674, 14, 356 on our page.

3. How to find GCD of 494, 674, 14, 356 on a calculator?

You can find the GCD of 494, 674, 14, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.